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Boundary-Value problems for systems of integro-differential equations with Degenerate Kernel

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Abstract

By using methods of the theory of generalized inverse matrices, we establish a criterion of solvability and study the structure of the set of solutions of a general linear Noether boundary-value problem for systems of integro-differential equations of Fredholm type with degenerate kernel.

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References

  1. A. A. Boichuk, V. F. Zhuravlev, and A. M. Samoilenko,Generalized-Inverse Operators and Noether Boundary-Value Problems [inRussian], Institute of Mathematics, Ukrainian Academy of Sciences, Kiev 1995.

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  2. A. F. Kalaida, “Linear one-dimensional integro-differential equations and problems,”Vych. Prikl Matematika, No. 69, 8–16 (1989).

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  3. F. R. Gantmakher,Matrix Theory [in Russian], Nauka, Moscow 1988.

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  4. Yu. K. Lando, “On solvability of an integro-differential equation,”Differents. Uravn.,3, No. 4, 695–697 (1967).

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Authors and Affiliations

  1. Academician, Ukrainian Academy of Sciences, Ukrainian

    A. M. Samoilenko

  2. Institute of Mathematics, Ukrainian Academy of Sciences, Kiev, Ukrainian

    A. M. Samoilenko & O. A. Boichuk

  3. Kiev University, Kiev, Ukrainian

    S. A. Krivosheya

Authors
  1. A. M. Samoilenko
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  2. O. A. Boichuk
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  3. S. A. Krivosheya
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Samoilenko, A.M., Boichuk, O.A. & Krivosheya, S.A. Boundary-Value problems for systems of integro-differential equations with Degenerate Kernel. Ukr Math J 48, 1785–1789 (1996). https://doi.org/10.1007/BF02529500

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  • DOI: https://doi.org/10.1007/BF02529500

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