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

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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.

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Authors and Affiliations

  1. Gumilyov Eurasian National University, 010008, Astana, Kazakhstan

    A. B. Tleulessova, A. S. Orazbekova & Y. N. Kalpakov

  2. Astana IT University, Block C1 QazExpo, 010000, Astana, Kazakhstan

    Y. N. Kalpakov

Authors
  1. A. B. Tleulessova
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  2. A. S. Orazbekova
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  3. Y. N. Kalpakov
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Correspondence to A. B. Tleulessova, A. S. Orazbekova or Y. N. Kalpakov.

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(Submitted by A. T. Assanova)

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Tleulessova, A.B., Orazbekova, A.S. & Kalpakov, Y.N. On the Solvability of a Linear Boundary Value Problem with Impulse Effects for Differential System. Lobachevskii J Math 44, 653–660 (2023). https://doi.org/10.1134/S199508022302035X

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  • DOI: https://doi.org/10.1134/S199508022302035X

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