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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20 December 2023
A Correction to this paper has been published: https://doi.org/10.1007/s10958-023-06838-8
13 February 2024
A Correction to this paper has been published: https://doi.org/10.1007/s10958-024-06981-w
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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