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

Narkesh B. Iskakova

2025

Data confidence 70 medium

How this score is calculated

It is built from checkable properties of the record itself: whether the article has a DOI, how many independent sources confirmed its data, whether the required fields are filled in, and how recent the latest confirmation is. Disagreement between sources and a missing identifier lower it. A value of 80 or above means the record was published without further checking; 60 to 79 means it is published at reduced confidence, with a manual check advisable. A record verified by an editor by hand is never pushed below 90 by a recalculation. This scores our data about the article, not the article itself.

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.