Res. Asst. Saliha DEMİRBÜKEN
Mathematics

Saliha DEMİRBÜKEN
Phone
+90 (262) 605 13 81
Email
sdemirbuken@gtu.edu.tr
Office
Business Administration Building, Z13
Areas of interest
Impulsive Diferantial Equations, Stability Theory, Numerical Analysis
PUBLICATIONS IN JOURNALS
  1. Demirbüken, S. and Yakar, C. (2024). "Variation of Parameters and Initial Time Difference Lipschitz Stability of Impulsive Differential Equations", Mathematical Methods in the Applied Sciences, 48(2025), pp. 3496–3508, DOI 10.1002/mma.10498.
  2. Demirbüken, S. and Purutçuoğlu, V. (2022). “ Extension of Leap Condition in Approximate Stochastic Simulation Algorithms of Biological Networks ”, Turkish Journal of Mathematics and Computer Science, 14 (2), 1-10.

CHAPTERS IN BOOKS

  1. Demirbüken, S. and Purutçuoğu, V. (2025). "Chapter 6 Approximate stochastic simulation algorithms". Smart Green Energy Production, edited by Pandian Vasant, J. Joshua Thomas, Vladimir Panchenko and Gerhard Wilhelm Weber, Berlin, Boston: De Gruyter, 2025, pp. 67-94. https://doi.org/10.1515/9783110717655-006.
  2. Demirbüken, S. and Purutçuoğlu, V. “ Extension of leap condition in approximate stochastic simulation algorithms of biological networks with 2nd and 3rd order Taylor expansion ”. 271-290. Chapter in: Mathematical Methods for Engineering Applications. Editors: F. Yılmaz, A. Queiruga-Dios, M.S.S. Sanchez, D. Rasteiro, V.G. Martinez and J.M. Vaquero.
    Springer.

PUBLICATIONS IN PROCEEDINGS

  1. Demirbüken, S. and Purutçuoğlu, V. (2021). “ Extension of leap condition in approximate stochastic simulation algorithms of biological networks with 2nd and 3rd order Taylor expansion ”, Proceeding of 2nd International Conference on Mathematics and Its Applications in Science and Engineering (ICMASE 2021), Virtual International Congress, Spain.
  2. Demirbüken, S. and Purutçuoğlu, V. (2020). “ Extension of leap condition in approximate stochastic simulation algorithms of biological networks" , Proceeding of the 4th International Conference on Mathematics (ICOMATH 2020), Virtual International Conference, Turkey

CONFERENCE IN PROCEEDINGS

  1. Demirbüken, S. and Yakar, C. (2024). " An Application of the Lipschitz Stability of Impulsive Perturbed System with Respect to Its Unperturbed System with Initial Time Difference", Workshop on Nonlinear Systems IV, Gebze Technical University, Turkey.
  2. Demirbüken, S. and Yakar, C. (2023). "Practical Stability Criterias of Impulsive Differential Equations and its Applications", Workshop on Nonlinear Systems III, Gebze Technical University, Turkey.

POSTERS

  1. Demirbüken, S. and Yakar, C. (2024). "An Application of the ITD Lipschitz Stability of Perturbed Impulsive System with respect to Its Unperturbed System", The Festival of Basic Sciences - II, Gebze Technical University, Turkey.
  2. Demirbüken, S. and Yakar, C. (2022). "Nonlinear Variation of Parameters Formula for Impulsive Differential Equations with Initial Time Difference", The Festival of Basic Sciences, Gebze Technical University, Turkey.
  • Third Cycle (Doctoral): Gebze Teknik Üniversitesi
  • Second Cycle (Master's): Orta Doğu Teknik Üniversitesi
  • First Cycle (Undergraduate): Orta Doğu Teknik Üniversitesi