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.
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
\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}
Linking options:
https://www.mathnet.ru/eng/vkam486
https://www.mathnet.ru/eng/vkam/v36/i3/p8
This publication is cited in the following 1 articles:
V. A. Vodakhova, F. M. Nakhusheva, Z. Kh. Guchaeva, A. Kh. Kodzokov, “O nekotorykh kraevykh zadachakh so smescheniem dlya uravneniya smeshannogo tipa”, Vestnik KRAUNTs. Fiz.-mat. nauki, 42:1 (2023), 27–36
Citation in format AMSBIB
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