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Article · Lobachevskii Journal of Mathematics · February 1, 2023

On the Solvability of a Linear Boundary Value Problem with Impulse Effects for Differential System

Agila B. Tleulessova, Aidana S. Orazbekova, Yerbolat Kalpakov

Abstract

Abstract A new general solution of an ordinary differential system with impulse effects is introduced and its properties are established. Methods of solving boundary value problems with impulse effects are based on the construction and solution of a system of algebraic equations with respect to any vectors of the general solution.

Nonlinear Differential Equations AnalysisDifferential Equations and Boundary ProblemsAdvanced Differential Equations and Dynamical Systemslinear boundary value problemsimpulsive differential equationsimpulse effects

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