A solution to a linear boundary value problem for an impulsive integro-differential equation

2023 · doi:10.21203/rs.3.rs-2465621/v1
preprint OA: closed
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Abstract

This study deals with a boundary-value problem for a linear Fred-holm integro-differential equation subject to impulse effects at fixed time points. Solvability criteria are provided in terms of input data, without the use of a fundamental matrix and a resolvent. We also propose an algorithm to solve the problem under consideration, establish its convergence conditions, and provide a numerical version of the algorithm. MSC Classification: 34A37; 34B37; 45J05; 45J99; 34K28

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last seen: 2026-05-19T01:45:01.086888+00:00