Prof. Dr.
Coşkun YAKAR
Matematik
- Telefon
- (262) 0262 605 13 70
- E-Posta
- cyakar@gtu.edu.tr
- Web sayfası
- http://www.gyte.edu.tr/Dosya/219/DocDrCoskun.pdf
- Ofis
- İşletme Binası, Z-15
- Çalışma alanları
- Nonlinear Analysis Qualitative and Quantitative Properties of Nonlinear Evolution Equations Differential Equations with Delay Stability Theory Dynamical Systems Nonlinear Differential Equations
Journal Article
1.Ş Çetin, Y Yılmaz, C Yakar. “Generalized Quasilinearization Method for a Initial Value Problem on Time Scales.” Applications and Applied Mathematics: An International Journal (AAM) 18 (2), 9. (2023).
2. Yakar C. and Talab H. “Lagrange Stability in terms of two measures with initial time difference for set differential equations involving Causal operators.” Communications in Mathematics and Applications. Fac.Sci.Univ.Ank.Ser. A1 Math. Stat. Volume 72, Number 1, Pages 84–104 (2023) DOI:10.31801/cfsuasmas.1059496 ISSN 1303-5991 E-ISSN 2618-6470 (2023).
3.Yakar C. and Mohammed Sami, “Stability, Boundedness and Lagrange Stability with Several Lyapunov Functions in Terms of Two Measures with Initial Time Difference.” Dynamics of Continuous, Discrete and Impulsive Systems. Series B: Applications and Algorithms 29 (2022) 411-421. (2022). Volume 29, Number 6b (1). Page:411-421.DCDIS (2022).(CMCI)
4.Yakar C. and Mohammed Sami, “Stability and Asymptotic Stability in Terms of Two Measures with Initial Time Difference.” Dynamics of Continuous, Discrete and Impulsive Systems. Series A: Mathematical Analysis 29 (2022) 225-232.(2022). Volume 29, Number 4a (1). Page:225-232. DCDIS (2022).(CMCI)
5.Yakar C. and Talab H. “Practical Stability in Terms of Two Measures with Initial Time Difference for Set Differential Equations involving Causal Operators.” Konuralp Journal of Mathematics 10 (1), 149-158. (2022), Volume 10, Number 1, Pages 149–158. (15.04.2022)
6.Yakar C. and Talab H. “Stability of Perturbed Set Differential Equations Involving Causal Operators in Regard to Their Unperturbed Ones considering Difference in Initial Conditions.“ Advances
in Mathematical Physics. Volume 2021 Article ID. 9794959. DOI: 10.1155/2021/9794959. (08/10/2021) (SCI-E);
7.Yakar C. and Özbay Elibüyük B. “Practical stability analysis of perturbed fuzzy control system related to unperturbed fuzzy control system.“ Turkish Journal of Mathematics (2021). Received:18.12.2020.
Published Online: 25.08.2021. Final Version: 2021. DOI: 10.3906/mat-2012-67. MAT-2012-67 (08/10/2021) (SCI-E)
8.Yakar C. and Arslan M., “Quasilinearization Method for Causal Terminal Value Problem involving Riemann-Liouville Fractional Derivatives.“ Electronic Journal of Differential Equations. Vol. 2019 (2019), No. 11, pp. 1–11. ISSN: 1072-6691. URL: http://ejde.math.txstate.edu or http://ejde.math.unt.edu; (2019.). Citations: 01. (SCI-E)
9.Yakar C., Çiçek, M. and Gücen M. B. “Strict Stability of Fuzzy Differential Equations by Lyapunov Functions.” World Academy of Science, Engineering and Technology, International Journal of
Computer and Information Engineering Vol:12, No:5, page:315-319. 2018.
10.Yakar C. and Arslan M., Terminal Value Problems with Causal Operators. Hacettepe Journal of Mathematics and Statistics. Accepted: 26.11.2016. Doi : 10.15672/HJMS.2018.566. Volume 47 (4), Page: 897-907. (2018.). Citations:03. (SCI)
11.Yakar C., and Gücen M. B. Strict Stability of Fuzzy Differential Equations by Lyapunov Functions. CFSNC 2018: International Conference on Fuzzy Systems and Neural Computing. Berlin, Germany. May 21-22, (2018). Citations:03.
12.Yakar C. and Arslan M., Terminal Value Problem for Causal Differential Equations with Caputo Fractional Derivatives. Turkish Journal of Mathematics (2017). 41:1042-1052. Published Online: 18.10.2016. Final Version: 25.07.2017. DOI: 10.3906/mat-1512-90. MAT-1512-90
(18/10/2016) (2017). (SCI) Citations: 04.(2017)
13.Yakar C., An Application of Dynamic Systems on Time Scales with Initial Time Difference Involving a Comparison Result and Lyapunov Stability. Dynamics of Continuous, Discrete and Impulsive Systems. Series A: Mathematical Analysis.(2015). Volume 22, Number 2 (5). Page:143-158. DCDIS (2015).(CMCI)
14.Yakar C. and Oğur B.“Stability of Perturbed Dynamic System on Time Scales with Initial Time Difference” Turkish Journal of Mathematics. (2015) 39: (1) 1-15. TÜBİTAK. DOI: 10.3906/mat-1307-67.(2015). (SCI) Citations: 06. (2015) Journal: Ricerche di Matematica. Vol 64, Issue 2, pp 345-355. Doi: 10.1007/s11587-015-0243-y. Print ISSN: 0035-5038, Online ISSN: 1827-3491 Springer Milan. Citations: 06.(2015)
15.Yakar C., Arslan I., Cicek M., Monotone Iterative Technique by Upper and Lower Solutions with Initial Time Difference, Miskolc Mathematical Notes Vol. 16. (2015) No:1. Pp. 575-586. (2015). (SCI) Citations: 04.(2015)
16.Yakar C. and Gücen M. B., “Initial Time Difference Stability of Causal Differential Systems in terms of
Lyapunov Functions and Lyapunov Functionals,” Journal of Applied Mathematics, vol. 2014, Article ID 832015, 7. Pages, 2014. doi:10.1155/2014/832015. (2014). Citations: 03.(2014)
17.Yakar C., “Initial Time Difference Quasilinearization Method in Causal Differential Equation with Initial Time Difference”, Communications in Mathematics and Statistics. Faculty of Sciences Ankara University, Volume 63, Page 3-12. (2014). Citations: 04.(2016) Available online at www.tjnsa.com J. Nonlinear Sci. Appl. 9 (2016), 1356-1364.
18.Yakar C., Çiçek, M. and Gücen M. B. “Practical stability in terms of two measures for fractional order dynamic systems in Caputo's sense with initial time difference.”;Journal of the Franklin Institute. Volume 351, Issue 2, February 2014, Pages 732-742. (2014).; (SCI) Citations:12.
http://dx.doi.org/10.1155/2014/939027. Issue Theory, Methods, and Applications of Fractional Calculus
(TMA) (2014) (SCI)
19.Ciçek, M., Yakar C.,Ogur B. Stability, Boundedness, and Lagrange Stability of Fractional Differential Equations with Initial Time Difference. The Scientific World Journal. Volume 2014, Article ID 939027, 7 pages. http://dx.doi.org/10.1155/2014/939027. Citations:11. (2014)
20.Yakar C., Çiçek M., Gücen M. B. “Practical stability, boundedness criteria and Lagrange stability of Fuzzy differential systems” Journal of Computers and Mathematics with Applications. 64 (2012) 2118-2127. Doi: 10.1016/j.camwa.2012.04.008. (2012). (SCI). (SCI) Citations:23.
21.Yakar C. Initial Time Difference Quasilinearization Method in Banach Space. Communications in Mathematics and Applications. Volume 2 (2011), Number 2-3, pp.77-85. ISSN: 0975-8607 (2011). Citations:03.
22.Yakar C. and Çiçek M. ''Initial Time Difference Boundedness Criteria and Lagrange Stability.'' Dynamics of Continuous, Discrete and Impulsive Systems. Series A: Mathematical Analysis. Volume 18, Number 6 (7) Page:797-811. DCDIS(2011).(SCI) Citations:02.
23.Yakar C., Çiçek M. and Gücen M. B. ''Boundedness and Lagrange stability of fractional order perturbed system related to unperturbed systems with initial time difference in Caputo's sense.'' Advances in Difference Equations, 2011:54 doi:10.1186/1687-1847-2011-54. ISSN: 1687-1847.
ADE (2011). (SCI) Citations:10.
24.Yakar C. and M. Çiçek, "Theory, Methods and Applications of Initial Time Difference Boundedness and Lagrange Stability in Terms of Two Measures for Nonlinear Systems." Hacettepe Journal of Mathematics and Statistics. 305-330 pp., Vol. 40. Issue 2, 2011 , ISSN: 1303-5010. (2011) (SCI). Citations:06.
25.Yakar C. and Yakar A., "Monotone Iterative Techniques for Fractional order Differential Equations with Initial Time Difference" Hacettepe Journal of Mathematics and Statistics. 331-340 pp. Vol. 40. Issue 2,2011, ISSN: 1303-5010. (2011) (SCI). Citations:10.
26.Yakar C. and M. B., Gücen, "Strict Stability Criteria of Unperturbed Systems with Initial Time Difference" Journal of Concrete and Applicable Mathematics. 213-222 pp., 2011 , ISSN: 1548-5390. (2011). Citations:05.
27.Yakar C. , B. Bal and A. Yakar, "Monotone Technique in Terms of Two Monotone Functions in Finite Systems." Journal of Concrete and Applicable Mathematics. 233-239 pp., 2011 , ISSN: 1548-5390. (2011).
28.Yakar C. and Çiçek,M., "Boundedness and Lagrange Stability of Fractional order Differential Equations in Caputo’s Sense with Initial Time Difference." Journal of Concrete and Applicable Mathematics. 223-232 pp., 2011 , ISSN: 1548-5390.(2011). Citations:03.
29.Yakar C. ''Nonlinear Variation of Parameters and an Application for Integro Differential Equations with Initial Time Difference.'' Dynamics of Continuous, Discrete and Impulsive Systems. Series A: Mathematical Analysis. Volume 18, Number 6 (5) Page:767-781. DCDIS(2011).
30.Yakar C. Fractional Differential Equations in Terms of Comparison Results and Lyapunov Stability
with Initial Time Difference. Journal of Abstract and Applied Analysis.AAA/762857. Vol 3,2010,
Article ID. 762857, 16 pages doi:10.1155/2010/762857(2010). (SCI) Citations:25.
31.Yakar C. and Yakar A. A Refinement of Quasilinearization Method for Caputo's Sense Fractional Order Differential Equations. Journal of Abstract and Applied Analysis. AAA/704367.v2. Vol 2, 2010, Article ID. 704367, 7 pages. doi:10.1155/2010/704367 (2010). (SCI) Citations:13.
32.Yakar C. and Shaw M.D. Practical Stability in Terms of Two Measures with Initial Time Difference. Nonlinear Analysis: Theory, Methods and Applications.Page: e781-e785; Vol. 71 (2009). (SCI) Citations:29.
33.Yakar C. and Yakar A. Further Generalization of Quasilinearization Method with Initial Time Difference. Journal of Applied Functional Analysis. Eudoxus Press, Llc. Issn: 1559-1948
(Print). 1559-1956 (Online). Vol. 4 No: 4, Page 714-727. (2009). (SCI) Citations:12.
34.Yakar C. and Shaw M.D., Initial Time Difference Stability in Terms of Two Measures and Variational Comparison Result. Dynamics of Continuous, Discrete and Impulsive Systems. Series A: Mathematical Analysis. Page 417-425 Vol. 15 Number 3 (2008). (SCI) Citations:20.
35.Yakar C. Boundedness Criteria in Terms of Two Measures with Initial Time Difference. Dynamics of Continuous, Discrete and Impulsive Systems. Series A: Mathematical Analysis. Page: 270-275. Proceedings of the 5^{th} International Conference on Differential Equations and Dynamical Systems. Edinburg, Texas, USA, December 16-18, 2006. DCDIS 14 (S2) 1-305 (2007). ISSN 1201-3390. (SCI) Citations:08.
36.Yakar C., Strict Stability Criteria of Perturbed Systems with respect to Unperturbed Systems in term of Initial Time Difference. Complex Analysis and Potential Theory. World Scientific Publishing. Page: 239-248 (2007). Citations:10.
37.Yakar C. and Yakar A. An Extension of the Quasilinearization Method with Initial Time Difference. Dynamics of Continuous, Discrete and Impulsive Systems. Series A: Mathematical Analysis. Watam Press. Waterloo.Page: 275-279. DCDIS 14 (S2) 1-305 (2007). (SCI) Citations:12.
38.Yakar C. and Deo S.G.Variation of Parameters Formulae with Initial Time Difference for Linear Integro-differential Equations.Journal of Applicable Analysis. Pages 333-343, Vol. 85, No. 4, (2006). (SCI) Citations:16.
39.Yakar C. and M.D Shaw, A Comparison Result and Lyapunov Stability Criteria with Initial Time Difference.Dynamics of Continuous, Discrete and Impulsive Systems. A: Mathematical Analysis. Volume 12, Number 6 2005 (731-737). (SCI) Citations:22.
40.Köksal S. and Yakar C., “Generalized Quasilinearization method with initial time difference,” Simulation, an International Journal of Electrical, Electronic and other Physical Systems, 2002 24(5), 2002. Citations:14.
41.Shaw M.D. and Yakar C., Stability criteria and slowly growing motions with initial time difference. International Journal of Problems of Nonlinear Analysis in Engineering Systems. Volume 6, Issue 1(11) 2000. (50-66). Kazan University Press. ISSN: 1727-687X. (2000) Citations: 27.
42.Shaw M.D. and Yakar C., Generalized variation of parameters with initial time difference and a comparison result in terms of Lyapunov-like functions. International Journal of Nonlinear Differential Equations Theory-Methods and Applications. Volume 5, Numbers1 and 2, 1999 Jan-Dec. (86-108). (1999). Citations: 47.
Conference Proceedings:
1.Yakar C., and Gücen M. B. Strict Stability of Fuzzy Differential Equations by Lyapunov Functions. Conference Proceedings, Berlin Germany May 21-22, 2018, 20 (5) Part XXI. CFSNC 2018: International Conference on Fuzzy Systems and Neural Computing. Berlin, Germany. May 21-22, 2018.
2.Yakar C., Practical Stability of Perturbed Set Differential Equations with Initial Time Difference.
“International Conference on Applied Analysis and Mathematical Modelling (ICAAMM
2015)” Yıldız Technical University 08-12 June 2015. Istanbul, Turkey.
3.Yakar C.Variation-of-parameters formulae and Lipschitz stability criteria for nonlinear matrix differential equations with initial time difference. Proceedings of the Conference on Differential and Difference Equations and Applications. Hindawi Publishing Corporation. Page: 1201-1216 (2006). Citations:01.
4.Yakar C.and Sırma A., Monotone technique for nonlinear second-order periodic boundary value problem in terms of two monotone functions. Proceedings of the Conference on Differential Difference
Equations and Applications. Hindawi Publishing Corporation. Page:1217-1230 (2006). Citations:01.
5.Yakar, C. Boundedness Criteria in Terms of Two Measures with Initial Time Difference. Proceeding of
the Fifth International Conference on Differential Equations and Dynamical Systems. December
16-18, 2006. Department of Mathematics University of Texas- Pan American. Edinburg,Texas 78541, USA. Dynamics of Continuous, Discrete and Impulsive Systems. Series A: Mathematical Analysis. Watam Press. Waterloo. Page: 270-275. DCDIS 14 (S2) 1-305 (2007).
6.Yakar, C. and Yakar, A. An Extension of the Quasilinearization Method with Initial Time Difference. Proceeding of the Fifth International Conference on Differential Equations and Dynamical Systems. December 16-18,2006. Department of Mathematics University of Texas- Pan American. Edinburg, Texas 78541, USA. Dynamics of Continuous, Discrete and Impulsive Systems. Series
A: Mathematical Analysis. Watam Press. Waterloo. Page: 275-279. DCDIS 14 (S2) 1-305 (2007).
7.Yakar C., Strict Stability Criteria of Perturbed Systems with respect to Unperturbed Systems in term of Initial Time Difference. Proceedings of the Conference on Complex Analysis and Potential Theory. World Scientific Publishing. Page: 239-248 (2007). Citations:10.
National Conferences:
1.Çetin, Ş., Yılmaz, Y. and YAKAR, C. “Quasilinearization Method for a Generalized Initial Value Problem on the time Scale.” (69) Fourth International Conference on Pure and Applied Mathematics. June 22-23, (2022) Van, Turkey.
2.Yakar. C., Pertürb Küme Diferansiyel Denklemler için Başlangıç Zaman Farklı Sınırlılık Kriterleri.
26-27 Mayıs 2016. XI. Ankara Matematik Günleri Sempozyumu. Ankara Üniversitesi. Matematik Bölümü. (2016).
3.Yakar. C. and Özbay B.,Pertürb Küme Diferansiyel Denklemlerin Pertörb Olmayan Küme Diferansiyel Denklemleri için Başlangıç Zaman Farklı Pratik Kararlılık. 26-27 Mayıs 2016. XI. Ankara Matematik Günleri Sempozyumu. Ankara Üniversitesi. Matematik Bölümü. (2016).
4.C.Yakar; Ankara Matematik Günleri Ulusal Matematik Sempozyumu konferansı dahilinde "IX. Ankara Matematik Günleri Ulusal Matematik Sempozyumu Bildiri Özetleri Kitapcığı" bildiri kitapçığındaki
"Lyapunov Fonksiyonları ve Lyapunov Fonksiyonelleri cinsinden Nedensel Diferansiyel Sistemlerin Başlangıç Zaman Farklı Kararlılığı", 98 pp., Ankara, Turkey, Haziran 12-13, 2014.
5.C. Yakar. Ankara Üniversitesi Fen Fakültesi Matematık Bölümü. Çarşamba Seminerleri. “Generalized Monotone Iterative Techniques and Quasilinearization Methods in Causal Differential Equations with Initial Time Difference.” Ankara, Turkey, Aralık 11, 2013.
6.C.Yakar.Ankara Matematik Günleri Ulusal Matematik Sempozyumu Konferansı "VIII. Ankara Matematik Günleri Ulusal Matematik Sempozyumu Bildiri Özetleri Kitapcığı" bildiri kitapçığındaki "Nedensel Diferansiyel Denklemler için Başlangıç Zaman Farklı Kuasilineerizasyon Metod", 91 pp., Ankara, Turkey, Haziran 13-14, 2013.
7.C. Yakar, ve M.B. Gücen . VIII. Ankara Matematik Günleri Ulusal Matematik Sempozyumu konferansı dahilinde "VIII. Ankara Matematik Günleri Ulusal Matematik Sempozyumu Bildiri Özetleri Kitapcığı" bildiri kitapçığındaki " Soyut Uzayda Sabitlerin Değişimi ve Başlangıç Zaman Farklı bir Uygulama", 40 pp., Ankara, Turkey, Haziran 13-14, 2013.
8.C. Yakar, ve E. Yılmaz. VIII. Ankara Matematik Günleri Ulusal Matematik Sempozyumu konferansı dahilinde "VIII. Ankara Matematik Günleri Ulusal Matematik Sempozyumu Caputo Kesirli Mertebeli Başlangıç Değer Problemi için Başlangıç Zaman Farklı Genelleştirilmiş Kuasilineerizasyon Yöntemi", 102 pp., Ankara, Turkey, Haziran 13-14, 2013.
9.C. Yakar, E. Yılmaz ve E. Atıcı. VIII. Ankara Matematik Günleri Ulusal Matematik Sempozyumu konferansı dahilinde "VIII. Ankara Matematik Günleri Ulusal Matematik Sempozyumu "İki Monotone Fonksiyonun Toplamı Şeklinde Verilen Caputo Fraksiyonel Mertebeli Başlangıç Değer Problemi için Başlangıç Zaman Farklı Kuasilineerizasyon Tekniği", 103 pp., Ankara, Turkey, Haziran 13-14, 2013.
10.C. Yakar, ve B. Oğur. VIII. Ankara Matematik Günleri Ulusal Matematik Sempozyumu konferansı dahilinde "VIII. Ankara Matematik Günleri Ulusal Matematik Sempozyumu Bildiri Özetleri Kitapcığı" bildiri kitapçığındaki " Zaman Skalasında Pertörb Dinamik Sistemlerin Başlangıç Zaman Farklı Stabilitesi", 61 pp., Ankara, Turkey, Haziran 13-14, 2013.
11.Yakar C., Çiçek M. and Gücen M. B. " Lagrange Stability and Boundedness Criteria in Terms of Two Measures for fractional order dynamic systems in Caputo's sense with Initial Time Difference" VI. Ankara Matematik Günleri Ulusal Matematik Sempozyumu. Hacettepe Üniversitesi Matematik Bölümü, Beykent, Ankara, Turkey 02-03 Haziran 2011.
12.Yakar C., Gücen M. B. and Çiçek M."Stability Criteria of Fractional order Differential Equations in Caputo's Sense." VI. Ankara Matematik Günleri Ulusal Matematik Sempozyumu. Hacettepe Üniversitesi Matematik Bölümü, Beykent, Ankara, Turkey 02-03 Haziran 2011.
13.Yakar C., Gücen M. B. and Çiçek M.“Lineer Olmayan Diferansiyel Denklemler için Başlangıç Zaman Farklı Sınrlılık ve Lagrange Stabilite Kriteri” (”Boundedness and Lagrange Stability Criteria of Unperturbed systems for Nonlinear Diffeential Equations with Initial Time Difference”) XXIII. Ulusal Matematik Sempozyumu. UMS23 Erciyes Universitesi. Kayseri, Türkiye. Ağustos 04-07, 2010.
14.Yakar C. and Yakar A. “Fraksiyonel Diferansiyel Denklemler için Başlangıç Zaman Farklı Monoton İteratif Teknik.” (“Initial Time Difference Monotone Iterative Technique for Fractional Differential Equations”) V. Ankara Matematik Günleri Ulusal Matematik Sempozyumu. TOBB Ekonomi ve Teknoloji Üniversitesi-Matematik Bölümü. Ankara, Turkey. 3-4 Haziran 2010.
15.Yakar C. and Çiçek M.; “İki Ölçü Cinsinden Başlangıç Zaman Farklı Sınırlılık ve Lagrange Kararlılığı.” (“Initial Time Difference Boundedness and Lagrange Stability in Terms of Two Measures”) V. Ankara Matematik Günleri Ulusal Matematik Sempozyumu. TOBB Ekonomi ve Teknoloji Üniversitesi-Matematik Bölümü. Ankara, Turkey. 3-4 Haziran 2010.
16.Yakar C. and Gücen M. B. “Pertörb Olmayan Sistemlerin Başlangıç Zaman Farklı İki Ölçü Cinsinden Kesin Kararlılık Kriterleri.” (“Initial Time Difference Strict Stability of Unperturbed Systems in Terms of Two Measures”) V. Ankara Matematik Günleri Ulusal Matematik Sempozyumu. TOBB Ekonomi ve Teknoloji Üniversitesi-Matematik Bölümü. Ankara, Turkey. 3-4 Haziran 2010.
17.Yakar C. “İki Ölçü Cinsinden Başlangıç Zaman Farklı Uygulamalı Stabilite.” (“Initial Time Difference Practical Stability in Terms of Two Measures”) XXI. Ulusal Matematik Sempozyumu. Koç Üniversitesi-Matematik Bölümü ve Türk Matematik Derneği. İstanbul, Turkey. 1-4 Eylül 2008.
18.Yakar, C. Diferansiyel Denklemler Çalıştayı (Attendance of Workshop on Differential Equations at) Yeditepe University Department of Mathematics ISTANBUL, TURKEY by Okay ÇELEBİ. June 19 – 21, 2008.
19.Yakar, C. Fraksiyonel Diferansiyel Denklemler ve Uygulaması. (Attendance of a conference on Fractional Differential Equations and its Application) by V. Lakshmikantham at Gebze Institute of Technology Department of Mathematics ISTANBUL, TURKEY. Friday, May 09, 2008.
International Conferences
1. Yakar C. and Alsharif Nour H. Generalized Monotone Iterative Techniques for Dynamic Equations with the Initial Value Problem on Time Scales. 6Th International Conference on Recent Advances in Pure and Applied Mathematics.(ICRAPAM 2019) JUNE 12-15 2019 at Istanbul Medeniyet University in Istanbul, TURKEY ICRAPAM Conference Proceeding.
2.Yakar C. and Gücen, M. B. “Strict Stability of Fuzzy Differential Equations by Lyapunov Functions”, ICFSNC 2018 : 20th International Conference on Fuzzy Systems and Neural Computing, Berlin, Germany, 21-22 May 2018.
3.Yakar C. and Gücen, M. B., “Strict Stability of Unperturbed Fuzzy Differential Equations”, International Conference on Mathematical Advances and Applications. (ICOMAA2018), Yildiz Technical University, Istanbul, Turkey, 11-13 May 2018.
4.Yakar C. and Gücen, M. B., “Initial Time Difference Stability of Fuzzy Differential Equations By Lyapunov Functions”, International Conference on Mathematics: An Istanbul Meeting for World Mathematicians, Fatih Sultan Mehmet University , Istanbul, Turkey, 3-6 July 2018.
5.Yakar C. and Gücen, M. B., “Practical Stability Analyses of Fuzzy Dynamic Systems of Perturbed Systems with respect to Unperturbed Systems with Initial Time Difference”, International Conference on Mathematics: An Istanbul Meeting for World Mathematicians, Fatih Sultan Mehmet University-İstanbul, Turkey, 3-6 July 2018.
6.Yakar C., and Ballout B. “Monotone Iterative Technique by Upper and Lower Solutions with Initial Time Difference for Three Functions in Metric Spaces.” International Conference on Mathematics: An Istanbul Meeting for World Mathematicians (ICOM 2018)” Fatih Sultan Mehmet University 03-06 July 2018. Istanbul, Turkey.
7.Yakar C., and Ballout B. “Monotone Iterative Technique by Upper and Lower Solutions with Initial Time Difference for Two Functions in Metric Spaces.” International Conference on Mathematics: An Istanbul Meeting for World Mathematicians (ICOM 2018)” Fatih Sultan Mehmet University 03-06 July 2018. Istanbul, Turkey.
8.Yakar C., “Initial Time Difference Boundedness Criteria of Fuzzy Systems Related to Unperturbed Systems.”International Conference on Mathematics and Engineering (ICOME-2017), 10 – 12 May, 2017, Istanbul, Turkey.
9.Yakar C., ”Initial Time Difference Stability of Fuzzy Systems Related to Unperturbed Systems” International Conference on Mathematics and Engineering (ICOME-2017), 10 – 12 May, 2017, Istanbul, Turkey.;
10.Arslan İ., Yakar C., and Çiçek M. Initial Time Difference.Generalized Monotone Iterative Technique Unified by the Upper and Lower Solutions “Second International Conference on Analysis and Its Applications”, July 12-15, 2016, Kirsehir,Turkey.
11.Yakar C., Arslan İ. and Çiçek M. Initial Time Difference.Generalized Monotone Iterative Technique Unified by the Upper and Lower Solutions “International Conference on Pure and Applied Sciences (ICPAS 2016)” Yıldız Technical University 01-05 June 2016. Istanbul, Turkey.
12.Yakar C. and Ozbay B.. Initial Time Difference.Stability of Perturbed Set Differential Equations related to Unperturbed Set Differential Equations “International Conference on Pure and Applied Sciences (ICPAS 2016)” Yıldız Technical University 01-05 June 2016. Istanbul, Turkey.
13.Practical Stability of Perturbed Set Differential Equations with Initial Time Difference. “International Conference on Applied Analysis and Mathematical Modelling (ICAAMM 2015)” Yıldız Technical University 08-12 June 2015. Istanbul, Turkey.
14.Yakar C.Anatolian Communications in Nonlinear Analysis. July 03-06, 2013. Bolu Turkey. "Quasilinearization Method in Causal Differential Equations for Banach Space with Initial Time Difference." 43 pp. Bolu, Turkey, July 03-06, 2013.
15.Yakar C., Çiçek, M. and Gücen, M. B. ''Practical Stability in Terms of Two Measures for Fractional Order Dynamic Systems in Caputo's Sense with Initial Time Difference.'' “International Conference on Applied Analysis and Algebra (ICAAA 2011)” Yıldız Technical University, Putra University of Malaysia, and Fatih University 29-30 June and 1-2 July 2011 Istanbul, Turkey.
16.Yakar C., Gücen, M. B. and Çiçek, M. ''Strict Stability Criteria of Fractional order Differetial Equations in Caputo' s Sense'' “International Conference on Applied Analysis and Algebra (ICAAA 2011)” Yıldız Technical University, Putra University of Malaysia, and Fatih University 29-30 June and 1-2 July 2011 Istanbul, Turkey.
17.Yakar C. and Yakar, A. “Monotone Iterative Technique with Initial Time Difference for Fractional Differential Equations” “International Conference on Applied Analysis and Algebra (ICAAA 2011)” Yıldız Technical University, Putra University of Malaysia, and Fatih University 29-30 June and 1-2 July 2011 Istanbul, Turkey.
18.Yakar C. and Çiçek M. “ Boundedness and Lagrange Stability of Fractional order Differential Equations in Caputo’s sense with Initial Time Difference.” Third International Interdisciplinary Chaos Symposium on Chaos and Complex Systems. CCS2010 at İstanbul Kültür University, ISTANBUL, TURKEY. MAY 21-24, 2010. Citations: 01.
19.Yakar C. and Gücen M.B. “ Strict Stability Criteria of Unperturbed Systems with Initial Time Difference.” Third International Interdisciplinary Chaos Symposium on Chaos and Complex Systems. CCS2010 at İstanbul Kültür University, ISTANBUL, TURKEY. MAY 21-24, 2010.
20.Yakar C., Bal B. and Yakar A. “Monotone Technique in Terms of Two Monotone Functions in Finite Systems.” Third International Interdisciplinary Chaos Symposium on Chaos and Complex Systems. CCS2010 at İstanbul Kültür University, ISTANBUL, TURKEY. MAY 21-24, 2010.
21.Yakar C. and Gücen M. B.“Initial Time Difference Strict Stability Criteria of Fractional Order Differential Equations in Caputo's Sense.” Conference on New Trends in Nanotechnology and Nonlinear Dynamical Systems. NTNDS10 at Çankaya University Department of Mathematics. Ankara, Turkey. 25 - 27 July, 2010.
22.Yakar C., Gücen M. B. and Çiçek M. “Strict Stability Criteria of Fractional Order Differential Equations in Caputo's Sense in Terms of Two Measures with Initial Time Diference” Conference on New Trends in Nanotechnology and Nonlinear Dynamical Systems. NTNDS10 at Çankaya University Department of Mathematics. Ankara, Turkey. 25 - 27 July, 2010.
23.Yakar C. Fractional Differential Equations in term of Comparison Results and Lyapunov Stability with Initial Time Difference. International Conference of Mathematical Sciences (ICMS) at Maltepe University Department of Mathematics by Hüseyin ÇAKALLI. Maltepe, İstanbul, Turkey. August 4-10, 2009.
24.Yakar C. and Yakar, A. Further Generalization of Quasilinearization Method with Initial Time Difference. Second International Interdisciplinary Chaos Symposium on Chaos and Complex Systems. CCS2008 Istanbul Kültür University Department of Mathematics. ISTANBUL, TURKEY.May 07-10, 2008.
25.Yakar C. Boundedness Criteria in Terms of Two Measures with Initial Time Difference. Fifth International Conference on Differential Equations and Dynamical Systems. December 16-18, 2006.Department of Mathematics University of Texas- Pan American. Edinburg, Texas 78541, USA.
26.Yakar C. and Yakar, A. An Extension of the Quasilinearization Method with Initial Time Difference. Fifth International Conference on Differential Equations and Dynamical Systems. December 16-18, 2006. Department of Mathematics University of Texas- Pan American. Edinburg, Texas 78541, USA.
27.Yakar C., Strict Stability Criteria of Perturbed Systems with respect to Unperturbed Systems in term of Initial Time Difference. International Conference on Complex Analysis and Potential Theory. Satellite to the International Congress of Mathematicians September 8-14, 2006.
28.Yakar C., Attendance of International Conference on Complex Analysis and Potential Theory. Satellite to the International Congress of Mathematicians at Gebze Institute of Technology Department of Mathematics by Tahir Aliyev Azeroğlu and Promarz M. Tamrazov, September 8-14, 2006.
29.Yakar C., Lipschitz Stability Criteria with Initial Time Difference for Matrix Differential Equations. Conference on Differential and Difference Equations and Applications. 1-5 August 2005, Department of Applied Mathematics. College of Sciences and Liberal Arts, Florida Institute of Technology, Melbourne, FL 32901.
30.Yakar C. and Sırma, A., Monotone Technique for Nonlinear Second Order Periodic Boundary Value Problems in Terms of Two Monotone Functions. Conference on Differential and Difference Equations and Applications.1-5 August 2005.
31.Yakar C. Attendance of a Conference on Differential and Difference Equations and Applications. Department of Applied Mathematics. College of Sciences and Liberal Arts by R. G. Agarwal, Florida Institute of Technology, Melbourne, FL 32901. 1-5 August 2005.
Other Publications
1. Yakar C. Stability Analysis of Nonlinear Differential Systems with Initial Time Difference. Ph.D. Dissertation, Florida Institute of Technology (Fall 2000).Florida Institute of Technology, Melbourne,FL,32901,USA,2005.
2. Yakar C. and Gücen M. B. “Initial Time Difference Strict Stability Criteria of Fractional Order Differential Equations in Caputo's Sense.” Communications in Nonlinear Science and Numerical Simulation by the Springer CNSNS (2011).
3. Yakar C., Gücen M. B. and Çiçek M. “Strict Stability Criteria of Fractional Order Differential Equations in Caputo's Sense in Terms of Two Measures with Initial Time Diference” Communications in Nonlinear Science and Numerical Simulation by the Springer CNSNS (2011).
International Books or Chapters of Book(s)
C1. C. Yakar, M. B. Gücen and M. Çiçek, Strict Stability of Fractional Perturbed Systems in Terms of Two Measures. Fractional Dynamics and Control: Chapter 10 pp. 119-132. ISBN: 978-1-4614-0456-9 by Dumitru B.; Machado, José António Tenreiro; Luo, Albert C.J. Chapter 10. DOI: 10.1007/978-1-4614-0457-6_10, 1-14 pp., New York, Springer, USA,2012.
C2. C. Yakar, M. B., Initial Time Difference Strict Stability of Fractional Dynamic Systems. Fractional Dynamics and Control: Chapter 11 pp. 133-144. ISBN: 978-1-4614-0456-9 by Dumitru B.; Machado, José António Tenreiro; Luo, Albert C.J. Chapter 11. DOI: 10.1007/978-1-4614-0457-6_10, 1-14 pp., New York, Springer, USA,2012.
Thesis
Ph.D. “ Dissertation, Stability Analysis of Nonlinear Differential Systems with Initial Time Difference." Florida Institute of Technology, Department of Mathematics, Aplied Mathematics. 2000 Melbourne FL-USA.
MANAGED BS.,MSc., and Ph. D.THESES
Managed Ph. D. Theses (Completed)
1.Betül Özbay Elibüyük “Initial Time Difference Stability, Practical Stability and Controllability of Fuzzy Systems with Initial Time Difference.” (2011-2023) Research Assistant at the Kırklareli University Faculty of Sciences and Art Department of Mathematics. Applied Mathematics. 16/06/2023 Spring.
2.Hazm Talab “Stability of Perturbed Set Differential Equations Involving Causal Operators in Regard to Their Unperturbed Ones considering Difference in Initial Conditions. (2022) “Advances in Mathematical Physics. Volume 2021 Article ID. 9794959. DOI: 10.1155/2021/9794959.
3.Mustafa Bayram Gücen “Strict Stability and Practical Stability of Nonlinear Fuzzy Dynamical Systems with Initial Time Difference.” (2019) Research Assistant at the Yıldız Technical University Department of Mathematics Applied Mathematics.
4.Mehmet Arslan “Monotone Iterative Techniques and Method of Quasilinearization of Terminal Value Problems for Causal Differential Equations with Initial Time Difference.” (2017) Teacher at Malatya Sciences and Art High School at the Turkish Ministry of Educations in Malatya.
5.Muhammed ÇİÇEK “Initial Time Difference Stability Analysis of Nonlinear Fractional Dynamic Systems” (2016). Asst. Prof. Dr. at Bursa Technical University. Faculty of Sciences. Department of Mathematics.
6.Ali YAKAR “Method of Quasilinearization for Fractional order Differential Equations in the sense of Caputo Derivative.” (2010) Assoc. Prof. Dr. at Gaziosmanpaşa University. Faculty of Sciences and Art. Department of Mathematics.
7.Emira AKKURT “On automorphism of structural matrix algebras” (2013) Asst. Prof. Dr. at Gebze Technical University. Faculty of Sciences. Department of Mathematics. (Co-advisor)
8.Mehmet Emir KÖKSAL “Two-Step Difference Schemes for Hyperbolic Differential Equations“ (2009) Assoc. Prof. Dr. at Ondokuz Mayıs University. Faculty of Sciences and Art. Department of Mathematics. (Co-advisor)
9.Ali Sırma “Nonlocal Boundary Value Problems for Schrödinger Equations“ (2007) Assoc. Prof. Dr. at Haliç University. Faculty of Business Administration. Department of Business Informatics. (Co-advisor)
Managed Master of Sciences Theses (Completed)
1)Tugay Değirmenci “Initial Time Difference Practical Stability of Perturbed system with respect to Unperturbed systems for Causal Differential Equations.” (2022 Spring)
2)Gülsüm Trabzon ” Monotone Iterative Technique in Time Scale” Sakarya Üniversitesi Fen Bilimleri Enstititüsü. Coadvisor with Yalçın YILMAZ (2021 Fall)
3)Sami Mohammed Shiek ” Stability of Fuzzy Daynamic System in Terms of Several Lyapunov Functions. (2019 Fall)
4)Nour H. M. Alsharif “The Method of Monotone Iterative Techniques and Quasilinearization on Time Scale.” (24/06/2019 Spring)
5)Betul, Batoul . “ Monotone Iterative Techniques for Set Valued Differential Equations in Metric Spaces.” (03-01/2019 Spring)
6)Esin Yavuz Yılmaz “Linear Integral Inequalities and its Applications” (06/06/2019 Spring)
7)Barkın, Muarrem. “Stability Theory of Set Valued Differential Equations.” (2017).
8)Çakıcı Mustafa, “Fractional Derivatives and Comparison results for Fractional order Differential Equations” (2016). (Co-advisor)
9)Arslantürk Bora, “Method of Variation of Parameters and Stability of Impulsive Differential Equations.” (2015).
10)Yeşil Burak, “Practical Stability Criteria for Nonlinear System of Differential Equations.” (2015).
11)Özlük Ali Öcal, “Quasilinearization Methods for Causal Differential Equations with Initial Time Difference.” (2014).
12)Oğur Bülent,“Initial Time Difference Lyapunov Stability in Time Scales” (2013).
13)Atıcı Emine, “Generalized Quasilinearization Methods for Fractional order Differetial Equations in the sense of Caputo” (2013).
14)Gücen Mustafa Bayram, “Stability Criteria and Strict Stability of Nonlinear Dynamic Systems” (2011)
15)Çiçek Muhammed. “ Boundedness and Lagrange Stability Criteria in Terms of Two Measures with Initial Time Difference “ (2010)
16)Metin Ufuk, ’’ Lyapunov Stability, Lagrange Stability and Initial Time Difference Boundedness in terms of Two measures for Cauchy Problem.’’ (July 15, 2009) (İÜ) (Co-advisor)
17)Keleş Mine, “ Variation of Parameters Formulae for Integro Differential Equation and its Applicaions.” (2009)
18)Karataş Didem, “Monotone Iterative Technique for Nonlinear Cauchy Problem by using Difference Equations.” (2006)
19)Arslan Mehmet, “Monotone Iterative Technique for Terminal Value Problems.” (2005)
20)Sırma Ali, “Monotone Iterative Technique for Periodic Boundary Value Problems.” (2005)
21)Yörük Özlem,“Lipschitz Stability Criteria with Initial Time Difference for Matrix Differential Equations.” (2004)
22)Yakar Ali, “Quasilinearization Method for Nonlinear Differential Equations in terms of Initial Time Difference.” (2004)
23)Dağıdır Hacıvelioğlu Feray, “Nonlinear Variation of Parameters and Monotone Iterative Techniques for Hyperbolic Equations.” (2004)
24)Bal Bircan, “Monotone Iterative Technique in terms of two Monotone Functions in Finite Systems.” (2003)
Graduation Projects (Undergraduate Students)
1)Elif Nur TERZİ“Fourier Bessel Series and their Applications in Mathematical Physics.” 2023-2024 Fall (24/01/2024)
2)Berna Özlem“Double Fourier Series, The Fourier Integrals and their Applications.” 2023-2024 Fall (24/01/2024)
3)Gizem ÖZGÜ "Quasilinearization Methods for Solving Casual Differential Equations."2022-2023 SPRING. (21/06/2023)
4)Aslıhan ÖZTÜRK “Applications of First, Second and Higher Order Ordinary Differential Equations.” 2022-2023 FALL. (18/01/2023)
5)Büşra TOZAN “Linear Evolution Equation of the Parabolic Type: Sobolevski-Tanabe Theory.” 2022-2023 FALL. (18/01/2023)
6)Bilge Nur KARABULUT “Ricatti Equation and its Application or Stability Theory of Nonlinear Dynamic Systems and Its Applications.” 2022-2023 FALL. (18/01/2023)
7)Hatice Kübra ÜNLÜ “Stability Criteria Theory of Dynamic Systems and its Application.” 2021-2022 Spring. (10/06/2022)
8)Eslem AKKAYA “Stability Theory of Differential Equations and its Application.” 2021-2022 Spring. (10/06/2022)
9)Rabia AŞIK “Some application of System of Ordinary Differential Equations.” 2021-2022 Fall. (13/01/2021)
10)Ceyda Yağmur Çakıroğlu “Numerical Solution of Some Partial Differential Equations.” 2021-2022 Fall. (13/01/2021)
11)Esmanur YILMAZ “Quasilinearization Methods for Causal Differential Equations in terms of two Monotone Operators.”23/06/2020 Spring 2019-2020 (11/06/2021)
12)Aleyna Arslankaya “Bessel Functions and Legendre Polynomials” Spring 2019-2020 (11/07/2021)
13)Merve Baskan “Differential and Integral Inequalities.” Spring 2019-2020 (11/07/2021)
14)Funda Özden “Generalized Quasilinearization Methods for Nonlinear Problems” Spring 2019-2020 (11/07/2020)
15)Fulya Özden “Existence and Uniqueness of the Nonlinear Differential Equations” Spring 2019-2020 (11/07/2020)
16)Fethullah Rıza Büyükyazıcı “The Fibonacci Sequences and Lucas Numbers.” Spring 2019-2020 (11/07/2020)
17)Eda Baltacı, “Quasilinearization Methods for Causal Differential Equations.”(2018-2019 Fall (03/01/2019)
18)Aslıhan Arslan “Fouries Series” Fall 2019-2020 (23/01/2019)
19)Ebrar Macit, “Stability Theory of Causal Differential Equations.”(2018-2019 Fall (03/01/2019)
20)Büşra Arda “Quasilinearization Method for Casual Differential Equations” 2017-2018 Spring (11/06/2018)
21)Onur Çulha,”Variation of Parameters.” (2016-2017 Spring (06/06/2017)
22)Gizem Sümeyye Altuncu,” Multy Dimensional Linear Integral Inequalities.” (2016-2017 Spring (01/06/2017)
23)Sümeyye Ceyda Akdoğan, “Snow and Patchpatte Inequalities.” (2016-2017 Spring (01/06/2017)
24)Ebru Baltacı, “Integration on Abstract Spaces and Comparison Results.” (2016-2017 Fall) (13-01-2017)
25)Tuğba Başar, “Cauchy Problems on Abstract Spaces.” (2016-2017 Fall) (13-01-2017)
26)Hilal Yazıksız, “Some Numerical Solutions Method of Differential Equations” (2015-2016 Fall)
27)Ezgi Azaklar, “Numerical Solutions of Differential Equations” (2015-2016 Fall)
28)Gürsöz, Zeynep. “Variation of Parameters and Lipschitz Stability Criteria with Initial Time Difference.”(2014-2015 Fall)
29)Elif, Metin “Generalized Variation of Parameters and Lyapunov-type Comparison Results with Initial Time Difference.”(2014-2015 Fall)
30)Soytürk, Merve “Fourier-Bessel Series and its Applications to Mathematical Physics” (2013-2014 Fall)
31)Çevik, Belkıs “Analysis and Algebra on Fourier Series.” (2012-2013 Spring)
32)Peştireli, Yaşar Kemal “Fourier Series, Convergence and its Applications.” (2012-2013 Fall)
33)Oğuz, Enis “Introduction to the Method of Quasilinearization” (2010-2011 Fall)
34)Çeçe, Muhammed. “Fundamental Properties of Dynamical Systems on Time Scales” (2010-2011 Fall (21/01/2011)
35)Yıldız, Hakan “ Financial Derivatives ” (2009-2010 Summer)(31/05/2010)
36)Suçağlar, Hafize “Some of the Existence and Uniqueness Theorems of Fractional Differential Equations” (2009-2010 Fall) (12/02/2010)
37)Güngördü, Hatice “Properties of Fractional Differential Equations and Applications” (2009-2010 Fall) (12/02/2010)
38)Yaşaroğlu, Hakan.” Fractional Differential Equations and Its Applications” (2009-2010 Fall) (12/02/2010)
39)Uzun, Gülyaz “Quasilinearization Method related to Initial Time Difference and Semiquadratic Convergence.” (2009-2010 Fall) (15/01/2010)
40)Taşkıran, Özlem ”Generalized Quasilinearization Method in Terms of Sum of Three Different Functions related to Initial Time Difference.” (2009-2010 Fall) (15/01/2010)
41)Ulubay, Melek, “Linear Analysis for Integro-differential equations and its Applications.” (2008-2009 Fall) (06/02/09)
42)Kaya, Oya, “Lyapunov Stability for Integro-differential equations and its Applications.”(2008-2009 Fall) (06/02/09)
43)Gürses, Fatih, “Theory and Applications of Fractional Calculus. ” (2008-2009 Fall) (15/01/09)
44)Gücen, Mustafa Bayram, “Fractional Derivative and Mean Value Theorems of Fractional Analysis.” (2008-2009 Fall) (15/01/09)
45)Araz, Nurdan, “Methods of Variation of Parameters for Linear and Nonlinear Integrodifferential Equations and its Applications.” (2007-2008 Spring) (20/06/08)
46)Aslan, Abdülkadir, “Integral Equations in Banach Spaces and its Applications.” (2007-2008 Spring) (20/06/08)
47)Er, Nazlıhan, “Monotone Iterative Technique and the Method of Generalized Quasilinearization for Second Order Parabolic Initial Boundary Value Problems.” (2007-2008 Spring) (20/06/08)
48)Topçu, İzlem, “Stability of Perturbed Systems.” (2007-2008 Spring) (20/06/08)
49)Çakır, İrem., “Monotone Iterative Technique and the Method of Generalized Quasilinearization for Nonlinear Eliptic Boundary Value Problems.” (2007-2008 Spring) (20/06/08)
50)Erkek, Fatma Betül, “Variation of Parameters Formulae and Lipschitz Stability Criteria.” (2007-2008 Spring) (20/06/08)
51)Karabudak, Oya., “Nonlinear Models and its Applications.” (2007-2008 Spring) (20/06/08)
52)Köse,Hatice., “Nonlinear Models and Nonlinear Phenomena.” (2007-2008 Spring) (20/06/08)
53)Erbil, Sinem, “Linear Integro Differential Equations.” (2007-2008 Spring) (20/06/08)
54)Gülbar, Ali, “Orthagonal Polynonials and their Properties, Fourier Series.”(2007-2008 Spring) (20/06/08)
55)Darcan, Berna, “Basic Theory of Integro-differential Equations.” (2007-2008 Spring) (20/06/08)
56)İştar, Tuğba, “Impulsive Differential Equations and its Applications.” (2007-2008 Spring) (20/06/08)
57)Öztürk, Hülya, “Lyapunov stability criteria for linear and nonlinear system of differential equations and its applications.” (2007-2008 Spring) (20/06/08)
58)Aynur, Fulya, “Variation of Parameters, Comparison Results, Monotone Iterative Technique and the Method of Generalized Quasilinearization for Second Order Nonlinear Hyperbolic Initial Boundary Value Problems.” (2007-2008 Spring) (20/06/08)
59)Sara, Emine, “Variation of Parameters Formulae for Delay Differential Equations.” (2007-2008 Spring) (20/06/08)
60)Kara, Yasemin, “Introduction to Nonlinear Differential Equations in Abstract Spaces.” (2007-2008Spring) (20/06/08)
61)Hacıoğlu, Türkan, “Fourier Integrals and Boundary Value Problems.” (2006-2007 Spring) (15/06/07)
62)Yıldız, Ayşe., “Stochastic Differential Equations and its Applications.”(2006-2007 Spring) (15/06/07)
63)Temiz, Ercan, “Qualitative Techniques for Ordinary Differential Equations and its Applications.”(2006-2007 Spring) ) (15/06/07)
64)Baltacı, Özlem, “Abstract Differential Equations and its Applications. ” (2006-2007 Spring) (15/06/07)
65)Akğüneş, Sevilay., “Variation of Parameters Formulae and Practical Stability Criteria for Nonlinear Differential Equations.” (2006-2007 Spring) (15/06/07)
66)Yavuz, Tuğba, “Dynamic Equations on Time Scales and its Applications.” (2006-2007 Spring) (15/06/07)
67)Kızılaslan, Fatih, “The Method of Variation of Parameters for Integro Differential Equations and its Applications.”(2006-2007 Spring) (15/06/07)
68)Aşan Cihan, “Existence and Uniqueness of Cauchy Problem and Monotone Method.” (2005-2006 Spring) (15/06/06)
COURSES TAUGHT
Undergraduate Courses at Gebze Institute of Technology/ Gebze Technical University
Mathematical Analysis I, III, IV.
Engineering Mathematics I, Engineering Mathematics II, Engineering Mathematics III, Engineering Mathematics IV (Calculus I, II, III, IV).
Differential Equations I, Differential Equations II.
Partial Differential Equations.
Applied Partial Differential Equations.
Quasilinearization Methods.
Monotone Iterative Techniques.
Integral Equations.
Functional Analysis.
Boundary Value Problems.
Undergraduate Courses at the Other Universities
Differential Equations and Linear Algebra at Florida Institute of Technology
Precalculus at Valdosta University
College Algebra at Valdosta University
Trigonometry at Valdosta University
Complex Analysis at Beykent University
Discrete Mathematics at Yeditepe University
Discrete Mathematics at Beykent University
Linear Algebra at Işık University and at Okan University
Chaos and Fractals at Beykent University
Linear Algebra at Yeditepe University
Engineering Mathematics (Calculus I, II, III, IV) at Kültür University
Fourier Analysis at Yeditepe University
Introduction to Mathematical Analysis at Yeditepe University
Economics Mathematics (Calculus for Economics I, II) at Yeditepe University
Engineering Mathematics II (Calculus II) at Yeditepe University
Differential Equations at Yeditepe University
Engineering Mathematics I, II (Calculus I and II) at Okan University
Basic Mathematics for Economics at Yeditepe University
Master of Science Courses
Theory of Differential Equations I
Linear Differential Equations
Integral Equations.
Doctorate Courses
Theory of Differential Equations II.
Advanced Partial Differential Equations.
Nonlinear Analysis for Dynamical Systems.
Theory of Fuzzy Differential Equations.
Theory of Fractional Differential Equations.
Theory of Causal Differential Equations.
Theory of Set Differential Equations in Metric Spaces
HOBBIES
Football, Internet, Driving, Diving, Riding, Reading, Cycling.
- MAT 203 Diferansiyel Denklemler I
- MAT 204 Diferansiyel Denklemler II
- MAT 435 Uygulamalı Kısmi Türevli Denklemler
- MAT 446 Quasilineerizasyon Metodu
- MAT 551 Diferansiyel Denklemler Teorisi I
- MAT 553 Lineer Diferansiyel Denklemler
- MAT 652 Diferansiyel Denklemler Teorisi II
- MAT 677 Dinamik Sistemler İçin Lineer Olmayan Analiz
- MAT 678 Bulanık Diferansiyel Denklemler Teorisi
- MAT 679 Fraksiyonel Diferansiyel Denklemler Teorisi
- MAT 680 Nedensel Diferansiyel Denklemler Teorisi
- MAT 681 Metrik Uzaylarda Küme Diferansiyel Denklemler Teorisi
Ph. D. Students
1.Betül Özbay Elibüyük “Initial Time Difference Stability, Practical Stability and Controllability of Fuzzy Systems with Initial Time Difference.” (2011-2023) Research Assistant at the Kırklareli University Faculty of Sciences and Art Department of Mathematics. Applied Mathematics. 16/06/2023 Spring.
2.Hazm Talab “Stability of Perturbed Set Differential Equations Involving Causal Operators in Regard to Their Unperturbed Ones considering Difference in Initial Conditions. (2022) “Advances in Mathematical Physics. Volume 2021 Article ID. 9794959. DOI: 10.1155/2021/9794959.
3.Mustafa Bayram Gücen “Strict Stability and Practical Stability of Nonlinear Fuzzy Dynamical Systems with Initial Time Difference.” (2019) Research Assistant at the Yıldız Technical University Department of Mathematics Applied Mathematics.
4.Mehmet Arslan “Monotone Iterative Techniques and Method of Quasilinearization of Terminal Value Problems for Causal Differential Equations with Initial Time Difference.” (2017) Teacher at Malatya Sciences and Art High School at the Turkish Ministry of Educations in Malatya.
5.Muhammed ÇİÇEK “Initial Time Difference Stability Analysis of Nonlinear Fractional Dynamic Systems” (2016). Asst. Prof. Dr. at Bursa Technical University. Faculty of Sciences. Department of Mathematics.
6.Ali YAKAR “Method of Quasilinearization for Fractional order Differential Equations in the sense of Caputo Derivative.” (2010) Assoc. Prof. Dr. at Gaziosmanpaşa University. Faculty of Sciences and Art. Department of Mathematics.
7.Emira AKKURT “On automorphism of structural matrix algebras” (2013) Asst. Prof. Dr. at Gebze Technical University. Faculty of Sciences. Department of Mathematics. (Co-advisor)
8.Mehmet Emir KÖKSAL “Two-Step Difference Schemes for Hyperbolic Differential Equations“ (2009) Assoc. Prof. Dr. at Ondokuz Mayıs University. Faculty of Sciences and Art. Department of Mathematics. (Co-advisor)
9.Ali Sırma “Nonlocal Boundary Value Problems for Schrödinger Equations“ (2007) Assoc. Prof. Dr. at Haliç University. Faculty of Business Administration. Department of Business Informatics. (Co-advisor)
MS Students
1)Tugay Değirmenci “Initial Time Difference Practical Stability of Perturbed system with respect to Unperturbed systems for Causal Differential Equations.” (2022 Spring)
2)Gülsüm Trabzon ” Monotone Iterative Technique in Time Scale” Sakarya Üniversitesi Fen Bilimleri Enstititüsü. Coadvisor with Yalçın YILMAZ (2021 Fall)
3)Sami Mohammed Shiek ” Stability of Fuzzy Daynamic System in Terms of Several Lyapunov Functions. (2019 Fall)
4)Nour H. M. Alsharif “The Method of Monotone Iterative Techniques and Quasilinearization on Time Scale.” (24/06/2019 Spring)
5)Betul, Batoul . “ Monotone Iterative Techniques for Set Valued Differential Equations in Metric Spaces.” (03-01/2019 Spring)
6)Esin Yavuz Yılmaz “Linear Integral Inequalities and its Applications” (06/06/2019 Spring)
7)Barkın, Muarrem. “Stability Theory of Set Valued Differential Equations.” (2017).
8)Çakıcı Mustafa, “Fractional Derivatives and Comparison results for Fractional order Differential Equations” (2016). (Co-advisor)
9)Arslantürk Bora, “Method of Variation of Parameters and Stability of Impulsive Differential Equations.” (2015).
10)Yeşil Burak, “Practical Stability Criteria for Nonlinear System of Differential Equations.” (2015).
11)Özlük Ali Öcal, “Quasilinearization Methods for Causal Differential Equations with Initial Time Difference.” (2014).
12)Oğur Bülent,“Initial Time Difference Lyapunov Stability in Time Scales” (2013).
13)Atıcı Emine, “Generalized Quasilinearization Methods for Fractional order Differetial Equations in the sense of Caputo” (2013).
14)Gücen Mustafa Bayram, “Stability Criteria and Strict Stability of Nonlinear Dynamic Systems” (2011)
15)Çiçek Muhammed. “ Boundedness and Lagrange Stability Criteria in Terms of Two Measures with Initial Time Difference “ (2010)
16)Metin Ufuk, ’’ Lyapunov Stability, Lagrange Stability and Initial Time Difference Boundedness in terms of Two measures for Cauchy Problem.’’ (July 15, 2009) (İÜ) (Co-advisor)
17)Keleş Mine, “ Variation of Parameters Formulae for Integro Differential Equation and its Applicaions.” (2009)
18)Karataş Didem, “Monotone Iterative Technique for Nonlinear Cauchy Problem by using Difference Equations.” (2006)
19)Arslan Mehmet, “Monotone Iterative Technique for Terminal Value Problems.” (2005)
20)Sırma Ali, “Monotone Iterative Technique for Periodic Boundary Value Problems.” (2005)
21)Yörük Özlem,“Lipschitz Stability Criteria with Initial Time Difference for Matrix Differential Equations.” (2004)
22)Yakar Ali, “Quasilinearization Method for Nonlinear Differential Equations in terms of Initial Time Difference.” (2004)
23)Dağıdır Hacıvelioğlu Feray, “Nonlinear Variation of Parameters and Monotone Iterative Techniques for Hyperbolic Equations.” (2004)
24)Bal Bircan, “Monotone Iterative Technique in terms of two Monotone Functions in Finite Systems.” (2003)
Graduation Projects (Undergraduate Students)
1)Elif Nur TERZİ“Fourier Bessel Series and their Applications in Mathematical Physics.” 2023-2024 Fall (24/01/2024)
2)Berna Özlem“Double Fourier Series, The Fourier Integrals and their Applications.” 2023-2024 Fall (24/01/2024)
3)Gizem ÖZGÜ "Quasilinearization Methods for Solving Casual Differential Equations."2022-2023 SPRING. (21/06/2023)
4)Aslıhan ÖZTÜRK “Applications of First, Second and Higher Order Ordinary Differential Equations.” 2022-2023 FALL. (18/01/2023)
5)Büşra TOZAN “Linear Evolution Equation of the Parabolic Type: Sobolevski-Tanabe Theory.” 2022-2023 FALL. (18/01/2023)
6)Bilge Nur KARABULUT “Ricatti Equation and its Application or Stability Theory of Nonlinear Dynamic Systems and Its Applications.” 2022-2023 FALL. (18/01/2023)
7)Hatice Kübra ÜNLÜ “Stability Criteria Theory of Dynamic Systems and its Application.” 2021-2022 Spring. (10/06/2022)
8)Eslem AKKAYA “Stability Theory of Differential Equations and its Application.” 2021-2022 Spring. (10/06/2022)
9)Rabia AŞIK “Some application of System of Ordinary Differential Equations.” 2021-2022 Fall. (13/01/2021)
10)Ceyda Yağmur Çakıroğlu “Numerical Solution of Some Partial Differential Equations.” 2021-2022 Fall. (13/01/2021)
11)Esmanur YILMAZ “Quasilinearization Methods for Causal Differential Equations in terms of two Monotone Operators.”23/06/2020 Spring 2019-2020 (11/06/2021)
12)Aleyna Arslankaya “Bessel Functions and Legendre Polynomials” Spring 2019-2020 (11/07/2021)
13)Merve Baskan “Differential and Integral Inequalities.” Spring 2019-2020 (11/07/2021)
14)Funda Özden “Generalized Quasilinearization Methods for Nonlinear Problems” Spring 2019-2020 (11/07/2020)
15)Fulya Özden “Existence and Uniqueness of the Nonlinear Differential Equations” Spring 2019-2020 (11/07/2020)
16)Fethullah Rıza Büyükyazıcı “The Fibonacci Sequences and Lucas Numbers.” Spring 2019-2020 (11/07/2020)
17)Eda Baltacı, “Quasilinearization Methods for Causal Differential Equations.”(2018-2019 Fall (03/01/2019)
18)Aslıhan Arslan “Fouries Series” Fall 2019-2020 (23/01/2019)
19)Ebrar Macit, “Stability Theory of Causal Differential Equations.”(2018-2019 Fall (03/01/2019)
20)Büşra Arda “Quasilinearization Method for Casual Differential Equations” 2017-2018 Spring (11/06/2018)
21)Onur Çulha,”Variation of Parameters.” (2016-2017 Spring (06/06/2017)
22)Gizem Sümeyye Altuncu,” Multy Dimensional Linear Integral Inequalities.” (2016-2017 Spring (01/06/2017)
23)Sümeyye Ceyda Akdoğan, “Snow and Patchpatte Inequalities.” (2016-2017 Spring (01/06/2017)
24)Ebru Baltacı, “Integration on Abstract Spaces and Comparison Results.” (2016-2017 Fall) (13-01-2017)
25)Tuğba Başar, “Cauchy Problems on Abstract Spaces.” (2016-2017 Fall) (13-01-2017)
26)Hilal Yazıksız, “Some Numerical Solutions Method of Differential Equations” (2015-2016 Fall)
27)Ezgi Azaklar, “Numerical Solutions of Differential Equations” (2015-2016 Fall)
28)Gürsöz, Zeynep. “Variation of Parameters and Lipschitz Stability Criteria with Initial Time Difference.”(2014-2015 Fall)
29)Elif, Metin “Generalized Variation of Parameters and Lyapunov-type Comparison Results with Initial Time Difference.”(2014-2015 Fall)
30)Soytürk, Merve “Fourier-Bessel Series and its Applications to Mathematical Physics” (2013-2014 Fall)
31)Çevik, Belkıs “Analysis and Algebra on Fourier Series.” (2012-2013 Spring)
32)Peştireli, Yaşar Kemal “Fourier Series, Convergence and its Applications.” (2012-2013 Fall)
33)Oğuz, Enis “Introduction to the Method of Quasilinearization” (2010-2011 Fall)
34)Çeçe, Muhammed. “Fundamental Properties of Dynamical Systems on Time Scales” (2010-2011 Fall (21/01/2011)
35)Yıldız, Hakan “ Financial Derivatives ” (2009-2010 Summer)(31/05/2010)
36)Suçağlar, Hafize “Some of the Existence and Uniqueness Theorems of Fractional Differential Equations” (2009-2010 Fall) (12/02/2010)
37)Güngördü, Hatice “Properties of Fractional Differential Equations and Applications” (2009-2010 Fall) (12/02/2010)
38)Yaşaroğlu, Hakan.” Fractional Differential Equations and Its Applications” (2009-2010 Fall) (12/02/2010)
39)Uzun, Gülyaz “Quasilinearization Method related to Initial Time Difference and Semiquadratic Convergence.” (2009-2010 Fall) (15/01/2010)
40)Taşkıran, Özlem ”Generalized Quasilinearization Method in Terms of Sum of Three Different Functions related to Initial Time Difference.” (2009-2010 Fall) (15/01/2010)
41)Ulubay, Melek, “Linear Analysis for Integro-differential equations and its Applications.” (2008-2009 Fall) (06/02/09)
42)Kaya, Oya, “Lyapunov Stability for Integro-differential equations and its Applications.”(2008-2009 Fall) (06/02/09)
43)Gürses, Fatih, “Theory and Applications of Fractional Calculus. ” (2008-2009 Fall) (15/01/09)
44)Gücen, Mustafa Bayram, “Fractional Derivative and Mean Value Theorems of Fractional Analysis.” (2008-2009 Fall) (15/01/09)
45)Araz, Nurdan, “Methods of Variation of Parameters for Linear and Nonlinear Integrodifferential Equations and its Applications.” (2007-2008 Spring) (20/06/08)
46)Aslan, Abdülkadir, “Integral Equations in Banach Spaces and its Applications.” (2007-2008 Spring) (20/06/08)
47)Er, Nazlıhan, “Monotone Iterative Technique and the Method of Generalized Quasilinearization for Second Order Parabolic Initial Boundary Value Problems.” (2007-2008 Spring) (20/06/08)
48)Topçu, İzlem, “Stability of Perturbed Systems.” (2007-2008 Spring) (20/06/08)
49)Çakır, İrem., “Monotone Iterative Technique and the Method of Generalized Quasilinearization for Nonlinear Eliptic Boundary Value Problems.” (2007-2008 Spring) (20/06/08)
50)Erkek, Fatma Betül, “Variation of Parameters Formulae and Lipschitz Stability Criteria.” (2007-2008 Spring) (20/06/08)
51)Karabudak, Oya., “Nonlinear Models and its Applications.” (2007-2008 Spring) (20/06/08)
52)Köse,Hatice., “Nonlinear Models and Nonlinear Phenomena.” (2007-2008 Spring) (20/06/08)
53)Erbil, Sinem, “Linear Integro Differential Equations.” (2007-2008 Spring) (20/06/08)
54)Gülbar, Ali, “Orthagonal Polynonials and their Properties, Fourier Series.”(2007-2008 Spring) (20/06/08)
55)Darcan, Berna, “Basic Theory of Integro-differential Equations.” (2007-2008 Spring) (20/06/08)
56)İştar, Tuğba, “Impulsive Differential Equations and its Applications.” (2007-2008 Spring) (20/06/08)
57)Öztürk, Hülya, “Lyapunov stability criteria for linear and nonlinear system of differential equations and its applications.” (2007-2008 Spring) (20/06/08)
58)Aynur, Fulya, “Variation of Parameters, Comparison Results, Monotone Iterative Technique and the Method of Generalized Quasilinearization for Second Order Nonlinear Hyperbolic Initial Boundary Value Problems.” (2007-2008 Spring) (20/06/08)
59)Sara, Emine, “Variation of Parameters Formulae for Delay Differential Equations.” (2007-2008 Spring) (20/06/08)
60)Kara, Yasemin, “Introduction to Nonlinear Differential Equations in Abstract Spaces.” (2007-2008Spring) (20/06/08)
61)Hacıoğlu, Türkan, “Fourier Integrals and Boundary Value Problems.” (2006-2007 Spring) (15/06/07)
62)Yıldız, Ayşe., “Stochastic Differential Equations and its Applications.”(2006-2007 Spring) (15/06/07)
63)Temiz, Ercan, “Qualitative Techniques for Ordinary Differential Equations and its Applications.”(2006-2007 Spring) ) (15/06/07)
64)Baltacı, Özlem, “Abstract Differential Equations and its Applications. ” (2006-2007 Spring) (15/06/07)
65)Akğüneş, Sevilay., “Variation of Parameters Formulae and Practical Stability Criteria for Nonlinear Differential Equations.” (2006-2007 Spring) (15/06/07)
66)Yavuz, Tuğba, “Dynamic Equations on Time Scales and its Applications.” (2006-2007 Spring) (15/06/07)
67)Kızılaslan, Fatih, “The Method of Variation of Parameters for Integro Differential Equations and its Applications.”(2006-2007 Spring) (15/06/07)
68)Aşan Cihan, “Existence and Uniqueness of Cauchy Problem and Monotone Method.” (2005-2006 Spring) (15/06/06)
- Doktora: Doctoral Research (Ph.D) Florida Institute of Technology Applied Mathematics and Mathematical Sciences 2000 Melbourne-FLORIDA-USA
- Yüksek lisans: Master of Sciences (M.Sc) Florida Institute of Technology Applied Mathematics and Mathematical Sciences 1997 Melbourne-FLORIDA-USA
- Lisans: Ankara University Faculty of Sciences Department of Mathematics 1993 Tandoğan-ANKARA-TURKEY
High School(Hs) Ankara Atatürk High School Mathematics 1988 Sıhhıye-ANKARA-TURKEY