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Convolutional equations of the first kind with periodic kernel on a finite interval

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Abstract

We find, in a closed form, the solvability and well-posedness conditions for the equations in question, as well as all solutions. The results of the article are applicable in practice.

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Authors and Affiliations

  1. Sobolev Institute of Mathematics, pr. Akad. Koptyuga 4, Novosibirsk, 630090, Russia

    A. F. Voronin

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  1. A. F. Voronin
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Correspondence to A. F. Voronin.

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Original Russian Text © A.F. Voronin, 2008, published in Sibirskii Zhurnal Industrial’noi Matematiki, 2008, Vol. XI, No. 1, pp. 46–56.

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Voronin, A.F. Convolutional equations of the first kind with periodic kernel on a finite interval. J. Appl. Ind. Math. 3, 409–418 (2009). https://doi.org/10.1134/S1990478909030120

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  • DOI: https://doi.org/10.1134/S1990478909030120

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