Work

On the Solvability of a Boundary Value Problem for Delay Integro‐Differential Equation

Year: 2025

Type: article

Abstract: ABSTRACT The article addresses a two‐point boundary value problem for an integro‐differential equation with a delay argument. The problem is studied by means of the Dzhumabaev parametrization method. Within this framework, additional parameters and new functions are introduced, reducing the original boundary value problem to an equivalent problem for a system of integro‐differential equations with delay involving these additional parameters. On the basis of the parametrization method, sufficient conditions for solvability are established in terms of the coefficient matrices, the initial vector functions, the delay, and the boundary conditions. Furthermore, an algorithm is proposed for constructing the solution of the two‐point boundary value problem for the integro‐differential equation with delay.

Source: Mathematical Methods in the Applied Sciences

DOI: 10.1002/mma.70404

Author: Narkesh Iskakova

Institution: Institute of Mathematics and Mathematical Modeling

Language: English

Topic: Differential Equations and Boundary Problems

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

Funder: Ministry of Education and Science of the Republic of Kazakhstan

Award: G4163799432