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This article is cited in 1 scientific paper (total in 1 paper)
On some boundary value problems for systems of pseudoparabolic equations
A. Sh. Lyubanova Siberian Federal University, Krasnoyarsk, Russia
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.
Keywords:
pseudoparabolic equation, loaded equation, inverse problem, existence and uniqueness theorem, nonlocal boundary value problem.
Received: 25.08.2014
Citation:
A. Sh. Lyubanova, “On some boundary value problems for systems of pseudoparabolic equations”, Sibirsk. Mat. Zh., 56:4 (2015), 835–852; Siberian Math. J., 56:4 (2015), 662–677
Linking options:
https://www.mathnet.ru/eng/smj2682 https://www.mathnet.ru/eng/smj/v56/i4/p835
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Abstract page: | 301 | Full-text PDF : | 96 | References: | 71 | First page: | 13 |
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