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Vestnik SamGU. Estestvenno-Nauchnaya Ser., 2011, Issue 5(86), Pages 12–17 (Mi vsgu74)  
This article is cited in 2 scientific papers (total in 2 papers)

Mathematics

On a certain problem for a wave equation

S. A. Beilin

Dept. of Equations of Mathematical Physics, Samara State University, Samara, 443011, Russian Federation
Full-text PDF (493 kB) Citations (2)
(published under the terms of the Creative Commons Attribution 4.0 International License)
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Abstract: In this paper a hyperbolic equation with non-classical boundary conditions for a hyperbolic equation is studied. This problem can be viewed as the generalization of the problem about the oscillation of the string if it ends experience the resistance of medium. The unique solvability of the problem is proved. The prove of solvability is based on the received a priory estimates in Sobolev space.
Keywords: wave equation, generalized solution, Galerkin procedure.
Received: 09.09.2011
Revised: 11.11.2011
Document Type: Article
UDC: 519.999
Language: Russian
Citation: S. A. Beilin, “On a certain problem for a wave equation”, Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2011, no. 5(86), 12–17
Citation in format AMSBIB
\Bibitem{Bei11}
\by S.~A.~Beilin
\paper On a certain problem for a~wave equation
\jour Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya
\yr 2011
\issue 5(86)
\pages 12--17
\mathnet{http://mi.mathnet.ru/vsgu74}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Вестник Самарского государственного университета. Естественнонаучная серия
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    References:50
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