General Solutions of Linear Impulsive Fredholm Integro-Differential Equations in the Sense of Dzhumabaev

2026

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DOI 10.1134/s1995080225611580
Data confidence 70 medium
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Abstract

Abstract This paper presents the general solution of the linear impulsive Fredholm integro-differential equations in the sense of Dzhumabaev and discusses its properties. It also provides conditions for the existence of a classical general solution and solvability criteria for the equation. Additionally, necessary and sufficient conditions for the solvability of linear boundary value problems for this equation are derived. Examples are considered to demonstrate the practical significance of these theoretical results.