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Vestnik KRAUNC. Fiziko-Matematicheskie Nauki, 2021, Volume 36, Number 3, Pages 8–14
DOI: https://doi.org/10.26117/2079-6641-2021-36-3-8-14
(Mi vkam486)
 

This article is cited in 1 scientific paper (total in 1 paper)

MATHEMATICS

Internal boundary value problems with displacement for the mixed-wave equation

Zh. A. Balkizova, V. A. Vogahovab

a Institute of Applied Mathematics and Automation
b Kabardino-Balkarian State University named after H.M. Berbekova
Full-text PDF (262 kB) Citations (1)
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Abstract: The paper investigates boundary value problems with an internal boundary displacement for a model mixed-wave equation, which are generalizations of the Goursat problem and problems with data on opposite characteristics. It is shown that, under certain conditions for given functions, the solution to the problems under study exists, is unique, and is written out in an explicit form.
Keywords: wave equation, mixed wave equation, degenerate hyperbolic equation, problem with displacement, internal boundary value problem.
Document Type: Article
UDC: 517.95
MSC: 35M12
Language: Russian
Citation: Zh. A. Balkizov, V. A. Vogahova, “Internal boundary value problems with displacement for the mixed-wave equation”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 36:3 (2021), 8–14
Citation in format AMSBIB
\Bibitem{BalVog21}
\by Zh.~A.~Balkizov, V.~A.~Vogahova
\paper Internal boundary value problems with displacement for the mixed-wave equation
\jour Vestnik KRAUNC. Fiz.-Mat. Nauki
\yr 2021
\vol 36
\issue 3
\pages 8--14
\mathnet{http://mi.mathnet.ru/vkam486}
\crossref{https://doi.org/10.26117/2079-6641-2021-36-3-8-14}
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  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Vestnik KRAUNC. Fiziko-Matematicheskie Nauki Vestnik KRAUNC. Fiziko-Matematicheskie Nauki
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    Full-text PDF :47
    References:25
     
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