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Weakly Perturbed Impulsive Boundary-Value Problem for Integrodifferential Systems in the Resonance Case

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A Correction to this article was published on 13 February 2024

A Correction to this article was published on 20 December 2023

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We establish conditions for the existence of solutions of weakly perturbed impulsive boundary-value problems for systems of integrodifferential equations and determine the structure of these solutions. The sufficient condition for the existence of solutions of these problems are investigated with the help of the theory of orthoprojectors and pseudoinverse Moore–Penrose matrices.

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Authors and Affiliations

  1. Institute of Mathematics, National Academy of Sciences of Ukraine, Tereshchenkivs’ka Str., 3, Kyiv, 01024, Ukraine

    I. A. Bondar

  2. Sumy State Pedagogic University, Rimskii-Korsakov Str., 2, Sumy, 40007, Ukraine

    O. P. Strakh

Authors
  1. I. A. Bondar
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  2. O. P. Strakh
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Correspondence to I. A. Bondar.

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Translated from Neliniini Kolyvannya, Vol. 25, No. 1, pp. 14–24, January–March, 2022.

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Bondar, I.A., Strakh, O.P. Weakly Perturbed Impulsive Boundary-Value Problem for Integrodifferential Systems in the Resonance Case. J Math Sci 274, 13–24 (2023). https://doi.org/10.1007/s10958-023-06567-y

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  • DOI: https://doi.org/10.1007/s10958-023-06567-y

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