Article · BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS · December 30, 2016
Construction of the solution of the boundary value problem for integro differential equation with a small parameter in highest derivatives
A. E. Mirzakulova, Н. Атахан
Abstract
Construction of the solution of the boundary value problem for integro differential equation with a small parameter in highest derivativesThe article is devoted to the study analytical formula of solution of boundary value problem with initial jump for a linear integro-differential equation of n + m order with a small parameter in the highest derivatives.In this paper singular perturbed homogeneous differential equation of n+m order are constructed fundamental system of solutions.With the fundamental system of solutions are constructed Cauchy function and boundary functions.Using Cauchy function and boundary functions are obtained explicit analytical formula of solution of considered local boundary value problem for singular perturbed integro-differential equation of high order.
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