Publications
Article · December 15, 2018
ASYMPTOTIC EXPANSION OF SOLUTION OF GENERAL BVP WITH INITIAL JUMPS FOR HIGHER-ORDER SINGULARLY PERTURBED INTEGRO-DIFFERENTIAL EQUATION
M. K. Dauylbayev, Н. Атахан, A. E. Mirzakulova
Abstract
In this article we constructed an asymptotic expansion of the solution undivided boundary value problem for singularly perturbed integro-differential equations with an initial jump phenomenon m – th order. We obtain the theorem about estimation of the remainder term’s asymptotic with any degree of accuracy in the smallparameter.
Differential Equations and Numerical MethodsDifferential Equations and Boundary ProblemsNonlinear Differential Equations Analysisasymptotic expansionsingularly perturbed problemsintegro-differential equations
More by Aziza Mirzakulova
- Boundary Layers in Two‐Point Boundary Value Problems for Doubly Singularly Perturbed Third‐Order Integro‐Differential EquationsMathematical Methods in the Applied Sciences · 2026
- Asymptotic Expansion of the Solution for a Singularly Perturbed Boundary Value Problem with Unbounded Boundary ConditionLobachevskii Journal of Mathematics · 2026
- ASYMPTOTIC CONVERGENCE OF THE CAUCHY PROBLEM SOLUTION FOR AN INTEGRO–DIFFERENTIAL EQUATION WITH A SMALL PARAMETERHerald of Kazakh-British technical university · 2026 · Citations: 1
- ASYMPTOTIC ESTIMATES OF THE SOLUTION OF THE BVP FOR SINGULARLY PERTURBED INTEGRO-DIFFERENTIAL EQUATIONSJournal of Mathematics Mechanics and Computer Science · 2026