Prof. Dr.
Mansur İSGENDEROĞLU (İSMAİLOV)
Mathematics
- Phone
- +90 (262) 605 16 41
- mismailovgtu.edu.tr
- Office
- Business Administration Building, Z16
- Areas of interest
- Inverse problems for differantial equations; Integrable nonlinear evolution equations
Journal Article
- M. I. Ismailov, Inverse scattering problem for hyperbolic systems on a semi-axis in the case of equal number incident and scattered waves, Inverse problems, 2006, v. 22, no. 3, pp. 955-974 [MR 2007b:35329]
- N. Sh. Iskenderov, M. I. Ismailov, Direct and inverse non-stationary scattering problems for a Dirac system on the semi-axis, Transactions of Academy of Sciences of Azerbaijan, 2003, v. 23, no. 1, pp. 87-91
- M. I. Ismailov, The uniqueness of solution of inverse scattering problem for the system of ordinary differential equations on the whole axis, Transactions of Academy of Sciences of Azerbaijan, 2002, v. 22, no. 4 [MR 2004m:34196]
- M. I. Ismailov, The inverse scattering problem for a first order symmetric hyperbolic equations system on the whole axis, Transactions of Academy of Sciences of Azerbaijan, 2000, v. 20, no. 5, pp. 109-114
- M. I. Ismailov, The inverse scattering problem for non-stationary Dirac`s equations system, Proceedings of Institute of Mathematics and Mechanıcs of Azerbaijan, 1999, v. 10 (18), pp. 55-60.
- M. I. Ismailov, The inverse non-stationary scattering problem for the symmetric hyperbolic system on the semi-axis, Transactions of Academy of Sciences of Azerbaijan, 1999, v. 19, no. 5, pp. 68-73 [MR 2001g:35262
- M. I. Ismailov, Scattering problem for the system of hyperbolic equations on a semi-axis, Proceedings of Institute of Mathematics and Mechanıcs , 1998, v. 8 (16), pp. 115-122, (in Russian) [MR 2002a:35130]
- N. Sh. Iskenderov, M. I. Ismailov, Inverse nonstationary scattering problem for hyperbolic system of four equations of the first order on a semi-axis, Proceedings of Institute of Mathematics and Mechanıcs, 1996, v. 4 (12) (in Russian)
- M. I. Ismailov, The inverse scattering problem for four ordinary differential equations of the first order on a semi-axis, Transactions of Academy of Sciences of Azerbaijan, 1998,v. 18, no. 2, (in Russian)
- N. Sh. Iskenderov, M. I. Ismailov, Inverse scattering problem for nonstationary Dirac-type sysytems on the half-plane. Journal of Differential Equations, 2009, v.246, pp.277-290
- M. I. Ismailov, Inverse nonstationary scattering for the linear system of the 3-wave interaction problem in the case of two incident waves with the same velocity, Wave Motion, 2010, v. 47, pp. 205–216
- M. I. Ismailov, Inverse scattering problem for nonstationary Dirac-type systems on the plane, Journal of Mathematical Analysis and Applications, 2010, v.365, pp. 498-509
- M. I. Ismailov, Integration of nonlinear system of four waves with two velocities in (2+1) dimensions by the inverse scattering transform method, Journal of Mathematical Physics, 2011, v. 52
- M. I. Ismailov, F. Kanca, An inverse coefficient problem for a parabolic equation in the case of nonlocal boundary and overdetermination conditions, Mathematical Methods in the Applied Sciences, 2011, v. 34, pp. 692-702
- M. I. Ismailov, F. Kanca, D. Lesnic, Determination of a time-dependent heat source under nonlocal boundary and integral overdetermination comditions, Applied Mathematics and Computation, 2011. v. 218, no. 8, pp. 4138-4146
- F. Kanca, M. I. Ismailov, The inverse problem of finding the time-dependent diffusion coefficient of the heat equation from integral overdetermination data, Inverse Problems in Science and Engineering, 2012, v. 20, No. 4, pp. 463–476
- N. Sh. Iskenderov, M. I. Ismailov, On the inverse scattering transform of a nonlinear evolution equation with 2 + 1 dimensions related to nonstrict hyperbolic systems, 2012, Nonlinearity, v. 25, pp. 1967–1979.
- N.B. Kerimov, M. I. Ismailov, An inverse coefficient problem for the heat equation in the case of nonlocal boundary conditions, Journal of Mathematical Analysis and Applications, 2012, v.396, pp. 446-554.
- A. Hazanee, M. I. Ismailov, D. Lesnic, N. B. Kerimov, An inverse time-dependent source problem for the heat equation, Applied Numerical Mathemetics, 2013, v. 69, pp. 13-33.
- M. I. Ismailov, I. Tekin, Scattering data in an inverse scattering problem on the semi-axis for a first order hyperbolic system, Turkish Journal of Mathematics, 2014, v. 38. pp. 110-118.
- M. I. Ismailov, Inverse scattering problem for Dirac-type systems with a self-adjoint potential, Proceedings of the Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan, 2014, v. 40, Special Issue, pp. 226-232.
- M. I. Ismailov, I. Tekin, Canonicability of the first order system of hyperbolic equations, Journal of Integral Equations and Applications, 2015, v.27, No 1, pp. 47-65.
- A. Hazanee, D. Lesnic, M. I. Ismailov, N. B. Kerimov, An inverse time-dependent source problem for the heat equation with a non-classical boundary condition, Applied Mathematical Modelling, 2015, v. 39, pp. 6258-6272.
- N. B. Kerimov, M. I. Ismailov, Direct and inverse problems for the heat equation with a dinamic-type boundary condition, IMA Journal of Applied Mathematics, 2015, v. 80 (5), pp.1519-1533.
- M. I. Ismailov, Inverse scattering problem for the nonstationary Dirac equation on the half-plane, Journal of Inverse and Ill-Posed Problems, 2016, v. 24 (3), pp. 221-232.
- M. S. Hussein, D. Lesnic, M. I. Ismailov, An inverse problem of finding the time-dependent diffusion coefficient from an integral condition, Mathematical Methods in the Applied Sciences, 2016, v. 39, pp. 963-980.
- M. I. Ismailov, B. Oğur, An inverse diffusion problem with nonlocal boundary conditions, Numerical Methods for Partial Differential Equations, 2016, v. 32 (2), pp. 564-590.
- M. I. Ismailov, M. Çiçek, Inverse source problem for a time-fractional diffusion equation with nonlocal boundary conditions, Applied Mathematical Modelling, 2016, v. 40 (7-8), pp. 4891-4899.
- M. I. Ismailov, I. Tekin, Inverse coefficient problems for a first order hyperbolic system, Applied Numerical Mathematics, 2016, v. 106, pp. 98 - 115.
- M. I. Ismailov, Inverse scattering on the half-line for a first order system with a general boundary condition, Annales Henri Poincare, 2017, 18, pp. 2621 - 2639.
- M. I. Ismailov, Inverse source problem for heat equation with nonlocal Wentzell boundary condition, Results in Mathematics, 2018, 73:68.
- M. I. Ismailov, F. S. V. Bazan, L. Bedin, Time-dependent perfusion coefficient estimation in a bio-heat equation, Computer Physics Communications, 2018, v. 230, pp. 50 - 58.
- A. Hazanee, D. Lesnic, M. I. Ismailov and N. B. Kerimov, Inverse time-dependent source problemfor the heat equation with nonlocal boundary conditions, Applied Mathematics and Computation, 2019, v 346 (1), pp. 800 - 815.
- M. I. Ismailov and B. Yilmaz, Inverse scattering on the half-line for generalized ZS - AKNS system with general boundary conditiions, Journal of Nonlinear Mathematical Physics, 2019, v. 26 (1), pp. 155 - 167.
- L. Zhuo, D. Lesnic, M.I. Ismailov, I. Tekin, S. Meng, Determination of the time-dependent reaction coefficient and heat flux in a nonlinear heat conduction problem, International Journal of Computer Mathematics, 2019, v. 96 (10), pp. 2079 - 2099.
- M. I. Ismailov, I Tekin, S Erkovan, An inverse problem for finding the lowest term of a heat equation with Wenzell - Neumann boundary condition, Inverse Problems in Science and Engineering, 2019, v. 27 (11), pp. 1608 - 1634.
- M. I. Ismailov, I. Tekin, A new approach for unique restoration of a time-dependent matrix potential in a hyperbolic scattering problem on a semi-axis. Azerbaijan Journal of Mathematics, 2019, v. 9 (1), pp. 156 - 170.
- M. I. Ismailov, S. Erkovan, Inverse problem of finding the coefficient of the lowest term in two-dimensional heat equation with Ionkin-type boundary condition, Computational Mathematics and Mathematical Physics, 2019, v. 59 (5), pp. 791-808.
- F. S. V. Bazan, M. I. Ismailov, L. Bedin, Time-dependent lowest term estimation in a 2D bioheat transfer problem with nonlocal and convective boundary conditions, Inverse Problems in Science and Engineering, 2021, v. 29 (9), pp 1282 - 1307.
- K. Cao, D. Lesnic, M. I. Ismailov, Determination of the time-dependent thermal grooving coefficient, Journal of Applied Mathematics and Computing, 2021, v. 65, pp. 199 - 221.
- M. I. Ismailov, Direct and inverse problems for thermal grooving by surface diffusion with time time dependent Mullins coefficient, Mathematical Modelling and Analysis, 2021, v. 26 (1), pp. 135 - 146.
- M. I. Ismailov, I. Tekin, Inverse scattering problem for lineer system of four-wave interaction problem with equal number of incident and scattered waves. Analysis and Mathematical Physics, 2021, v. 11 (2), pp. 1 - 29.
- M. I. Ismailov, Inverse scattering transform in two spatial dimensions for the N-wave interaction problem with a dispersive term, Journal of Inverse and Ill-posed Problems, 2021, v. 29 (5), pp. 741 - 752.
- M. I. Ismailov, I, Oner, Null boundary controllability for some biological and chemical diffusion problems, Evolution Equations and Control Theory, 2023, v. 12 (5), pp. 1287 - 1299.
- M. I. Ismailov, Inverse scattering problem for linear system of four-wave interaction problem on the half-line with a general boundary condition, J. Math. Phys, Anal. Geom, 2023, v. 19(2), pp. 443 - 455.
- M. I. Ismailov, Ö. Türk, Direct and inverse problems for a 2D heat equation with a Dirichlet - Neumann - Wentzell boundary conditions, Communucations in Nonlinear Science and Numerical Simulations, 2023, v. 127, 107519.
- M. I. Ismailov, C. Sabaz, Inverse Scattering Method via Riemann–Hilbert Problem
for Nonlinear Klein–Gordon Equation Coupled with a Scalar Field, Journal of the Physical Society of Japan, 2023, v. 92, 104001. - F.S.V. Bazan, L. Bedin, M. I. Ismailov and L. S. Borges, Inverse time-dependent source problem for the heat equation with a nonlocal Wentzell-Neumann boundary condition, Networks and Heterogeneous Media, 2023, v.18(4), pp.1747–1771.
- M. I. Ismailov and T. S. Kalmenov, Inverse scattering problem for non strict hyperbolic sysytem on the half-axis with a nonzero boundary condition, Journal of Inverse and Ill-posed Problems, 2024 (in press).
- M. I. Ismailov, T. Ozawa, D. Suragan, Inverse problems of identifying the time-dependent source coefficient for subelliptic heat equations. Inverse Problems and Imaging, 2024 (in press)
Conference Proceedings
- M. I. Ismailov, Inverse scattering problem for first order system on the half-axis, Iternational integral geometry and inverse problems symposium abstracts, Zonguldak, 2006, pp. 114-115
- M. I. Ismailov, Nonlinear evolution equations related to nonstationary Dirac-type systems, Abstracts of scientific conference on mathematics and mechanics, Institute of Mathematics and Mechanics of Azerbaijan NAS, Baku, 2007
- M. I. Ismailov, Inverse scattering problem for nonstationary Dirac-type system in half-plane, Proceeding of International Conference "CONTEMPORARY PROBLEMS OF COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS", in memory of the academician Alexander A. Samarskii, Moscow, June 16-18, 2009, p. 180-181.
- N. Sh. Iskenderov, M. I. Ismailov, Inverse scattering problem for a first order sysytem on the half-axis, Abstracts of reports of International conference on Functional Analysis dedicated to 90th anniversary of V. E. Lyantse, Lviv, Ukraine, Novomber 17-21, 2010, p. 36
- N. Sh. Iskenderov, M. I. Ismailov, On the inverse scattering transform in 2 + 1 dimensions for a nonlinear evolution equation related to nonstatinary Dirac-type systems on the plane, The 4th Congress of the Turkic World Mathematical Society (TWMS) Baku, Azerbaijan, 1-3 July, 2011
- M. I. Ismailov, Inverse scattering problem on the half-axis for a system of first order ordinary differential equations, International Conference “Spectral Theory and Differential Equations” in honor of Vladimir A. Marchenko's 90th birthday, August 20-24, 2012, Kharkiv, Ukraine.
- M. I. Ismailov, Inverse scattering problem for the nonstationary Dirac equation on the half-plane, Abstracts of International Conference "Spectral Theoary and Differential Equations" dedicated to the centenary of outstanding mathematician B. M: Levitan, p. 13, 14, June 23-27, 2014, Moscow Lomonosov State University, Russia.
- M. I. Ismailov, B. Oğur, Inverse problem of finding diffusion coefficient in heat equation with nonlocal boundary conditions, International Conference on Recent Advances in Pure and Applied Mthematics, 6-9 November, 2014, Antalya, Turkey.
- I. Tekin, M. I. Ismailov, Inverse scattering problem for the nonstationary matrix Dirac equation on the half-plane with the singular transmission matrix in the boundary condition, AIP Conf. Proc. 1676, 020092, 2015.
- M. I. Ismailov, Inverse source problem for heat equation with nonlocal and nonclassical boundary conditions, International Conference on Differential Equations Dedicated to the 110th Anniversary of Ya. B. Lopatynsky, p. 72-73, September 20-24, 2016, Lviv, Ukraine.
- M. I. Ismailov, An externally controlled problem for diffusion equation with with nonlocal Wentzell boundary condition, Control Theory, Integral Geometry and Inverse Problems Conference, 12 - 18 June, 2017, Euler International Mathematical Institute, St. Petersburg, Russia.
- M. I. Ismailov, Inverses cattering problem for Volterra-canonical first order hyperbolic system on thesemi-axis, Operators, Fuctions, and Systems of Mathematical Physics Conference Book, p.106, May, 21 - 24, 2018, Khazar University, Baku, Azerbaijan.
- M. I. Ismailov, Time-dependent perfusion coefficient determination in a 2D bioheat transfer problem, Conference on Applied Mathematics, Modeling and Life Science, 2018, 03 - 05 October, Istanbul, Turkey.
- M. I. Ismailov, Inverse scattering transform method for a nonlinear integro-differential evolution equation with 2 + 1 dimensions, The fourth international conference "Quasilinear Equations, Inverse Problems and their Applications'', Moscow Institute of Physics and Technology, December 03 - 05, 2018, Moscow, Russia.
- M. I. Ismailov, Inverse scattering problem for a first order system on the half-line, International workshop '' Spectral Theory and its Applications'', Abstract book, p, 87 -91, June 07 -08, 2019, Baku, Azerbaijan.
- M. I. Ismailov, Inverse scattering problem for nonstationary Manakov system, Operators, Fuctions, and Systems of Mathematical Physics Conference Book, p.60, June, 10 -14, 2019, Khazar University, Baku, Azerbaijan.
- M. I. Ismailov, Borg-type uniqueness theorem for first order hyperbolic system on half-axis, The sixth international conference "Quasilinear Equations, Inverse Problems and their Applications'', Moscow Institute of Physics and Technology, November 30 - December 02, 2020, Moscow, Russia.
- M. I. Ismailov, Inverse scattering problem for nonstationary martix Dirac system, The seventh international conference "Quasilinear Equations, Inverse Problems and their Applications" takes place in Educational Center ''Sirius'' from August 23 to 29, 2021, Sochi, Russia.
- M. I. Ismailov, Inverse Scattering Method via Gelfand-Levitan-Marchenko Equation for Nonlinear Klein-Gordon Equation Coupled with a Scalar Field, Traditional International April Mathematical Scientific Conference, from April 05 to 07, 2023, Almati, Kazakhstan.
National Proceedings
- M. I. Ismaılov, Stasyoner olmayan AKNS sistemi için ters sacılım problemleri, XXI. Ulusal Matematik Sempozyumu, Koç Üniversitesi, 2008
Books and Chapters
- M. I. Ismailov, Perturbation of the boundary conditions in the periodic problem for the Dirac system (In: A. P. Makhmudov, Nonlinear eigenvalue problems and bifurcation theory, Baku, 1996) (in Russian)
- MATH 119 Calculus I
- MATH 120 Calculus II
- MATH 214 Numerical Analysis
- MATH 215 Differential Equations
- MATH 452 History Of Mathematics
- MATH 495 Graduation Project
- MATH 541 Functional Analysis
- MATH 548 Numerical Analysis of Partial Differential Equations
- MATH 591 Seminar I
- MATH 592 Seminar II
- MATH 599 Thesis Study
- MATH 614 Numerical Analysis II
- MATH 671 Operator Theory And Its Applications
- MATH 675 Spectral Theory And Equations Of Mathematical Physics
- MATH 676 Inverse Problems for the Hyperbolic-Type Equations
Completed PhD Theses:
Fatma KANCA, "The Inverse Problems for the Parabolic Equations with Non-local Boundary Conditions" (2011)
İbrahim TEKİN, "Inverse Initial-boundary Value Problems for a First Order Hyperbolic System" (2016)
Sait ERKOVAN, '' Theoretical and Numerical Investigation of Inverse Problem of Finding the Lowest Term in 1D and 2D Heat Equations'' (2018)
Completed MSc Theses:
İbrahim TEKİN, ''Some applications of transformation operators to the inverse problems for differential equations'' (2011)
Emrah KORKMAZ, ''An inverse coefficient problem for a parabolic equation in the case of nonlocal boundary and overdetermination conditions'' (2016)
Murat TAŞDEMİR, '' Inverse source problem for heat equation with the Neumann-Venttsel boundary conditions'' (2018)
Deniz DEMİRCANLI, '' Spatial Critical Points of Solutions of a Nonlinear Parabolic Problem with Dynamic Boundary Conditions'' (2019)
- Third Cycle (Doctoral): Azerbaijan Academy of Sciences, Institute of Mathematics and Mechanics, 1996
- Second Cycle (Master's): Baku State University, Faculty of Mechanics - Mathematics, 1993
- First Cycle (Undergraduate): Baku State University, Faculty of Mechanics - Mathematics, 1993