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Linear Boundary-Value Problems for Systems of Integrodifferential Equations with Degenerate Kernel. Resonance Case for a Weakly Perturbed Boundary-Value problem

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We consider a noncritical case for linear boundary-value problems posed for systems of integrodifferential equations. We establish the existence conditions and the structure of solutions for weakly perturbed boundary-value problems for these systems in the resonance case. By using the theory of orthoprojectors and pseudoinverse matrices in the Moore–Penrose sense, we investigate sufficient conditions for the existence of solutions of these problems.

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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

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  1. I. A. Bondar
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Correspondence to I. A. Bondar.

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Translated from Neliniini Kolyvannya, Vol. 25, No. 2-3, pp. 174–183, April–September, 2022.

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Bondar, I.A. Linear Boundary-Value Problems for Systems of Integrodifferential Equations with Degenerate Kernel. Resonance Case for a Weakly Perturbed Boundary-Value problem. J Math Sci 274, 822–832 (2023). https://doi.org/10.1007/s10958-023-06645-1

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