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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
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
Linking options:
https://www.mathnet.ru/eng/vkam486 https://www.mathnet.ru/eng/vkam/v36/i3/p8
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Abstract page: | 133 | Full-text PDF : | 47 | References: | 25 |
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