qualitative theory of differential and integro-differential equations;
theory of nonlocal problems for partial differential equations of hyperbolic type; numerical and approximated methods for solving boundary value problems.
Main publications:
Dulat Dzhumabaev, Elmira Bakirova, Sandugash Mynbayeva, “A method of solving a nonlinear boundary value problem with a parameter for a loaded differential equation”, Mathematical Methods in the Applied Sciences, 43:4 (2020), 1788-1802
D. S. Dzhumabaev, “New general solutions to linear Fredholm integro-differential equations and their applications on solving the boundary value problems”, Journal of Computational and Applied Mathematics, 327:1 (2018), 79-108
Dulat Dzhumabaev, “Computational methods of solving the boundary value problems for the loaded differential and Fredholm integro-differential equations”, Mathematical Methods in the Applied Sciences, 41:4 (2018), 1439-1462
D. S. Dzhumabaev, “Well-posedness of nonlocal boundary value problem for a system of loaded hyperbolic equations and an algorithm for finding its solution”, Journal of Mathematical Analysis and Applications, 461:1 (2018), 1439-1462
D. S. Dzhumabaev, “On one approach to solve the linear boundary value problems for Fredholm integro-differential equations”, Journal of Computational and Applied Mathematics, 294:2 (2016), 342-357
A. T. Asanova, D. S. Dzhumabaev, “Well-posedness of nonlocal boundary value problems with integral condition for the system of hyperbolic equations”, Journal of Mathematical Analysis and Applications, 402:1 (2013), 167-178
D. S. Dzhumabayev, “Criteria for the unique solvability of a linear boundary-value problem for an ordinary differential equation”, U.S.S.R. Comput. Math. Math. Phys., 29:1 (1989), 34–46
D. S. Dzhumabaev, “On the solvability of Nonlinear Closed Operator Equations”, American Mathematical Society Translations (2), 142 (1989), 91-94
D. S. Dzhumabaev, “On the convergence of a modification of the Newton-Kantorovich method for closed operator equations”, American Mathematical Society Translations (2), 142 (1989), 95-99
D. S. Dzhumabaev, “Convergence of iterative methods for unbounded operator equations”, Mathematical Notes, 41:5 (1987), 356–361
