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Article · Lobachevskii Journal of Mathematics · December 1, 2021

A Computational Method for Solving the Boundary Value Problem for Impulsive Systems of Essentially Loaded Differential Equations

Zh. М. Каdirbayeva, Symbat Seisenbekovna Kabdrakhova, Sandugash Mynbayeva

Abstract

Abstract A linear two-point boundary value problem for a system of essentially loaded differential equations with impulse effect is investigated. The considered problem is reduced to an equivalent multi-point boundary value problem for the system of ordinary differential equations with parameters. Based on the Dzhumabaev parametrization method, a numerical algorithm for solving the problem under consideration is proposed.

Differential Equations and Boundary ProblemsNonlinear Differential Equations AnalysisNumerical methods for differential equationsimpulsive differential equationstwo-point boundary value problemsmulti-point boundary value problems

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