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On some boundary value problems for systems of pseudoparabolic equations

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Abstract

We study a boundary value problem for a system of two pseudoparabolic equations when for one of the functions the initial data and its values at the final time are given. Existence and uniqueness theorems for this problem are proven with the help of the properties of solutions to some nonlocal and inverse problems for a pseudoparabolic equation which are established in this article.

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Authors and Affiliations

  1. Siberian Federal University, Krasnoyarsk, Russia

    A. Sh. Lyubanova

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  1. A. Sh. Lyubanova
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Correspondence to A. Sh. Lyubanova.

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Original Russian Text Copyright © 2015 Lyubanova A.Sh.

The author was supported by the Government of the Russian Federation (Grant 14.Y26.31.0006). Krasnoyarsk.

Krasnoyarsk. Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 56, No. 4, pp. 835–852, July–August, 2015; DOI: 10.17377/smzh.2015.56.410.

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Lyubanova, A.S. On some boundary value problems for systems of pseudoparabolic equations. Sib Math J 56, 662–677 (2015). https://doi.org/10.1134/S0037446615040102

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  • DOI: https://doi.org/10.1134/S0037446615040102

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