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Vestnik SamGU. Estestvenno-Nauchnaya Ser., 2012, Issue 9(100), Pages 22–30 (Mi vsgu96)  
Mathematics

On certain initial-boundary value problems with nonlineal boundary conditions for hyperbolic equation

N. V. Beylina

Dept. of Mathematics and applied informatics, Samara State Technical University, Samara, 443100, Russian Federation
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Abstract: In this paper, we study the solvability of a problem for a nonlinear hyperbolic equation with a nonlinear boundary conditions. The unique solvability is proved.
Keywords: hyperbolic equation, nonlinear boundary conditions, generalized solution, unique solvability.
Received: 20.11.2012
Revised: 20.11.2012
Document Type: Article
UDC: 517.95
Language: Russian
Citation: N. V. Beylina, “On certain initial-boundary value problems with nonlineal boundary conditions for hyperbolic equation”, Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2012, no. 9(100), 22–30
Citation in format AMSBIB
\Bibitem{Bey12}
\by N.~V.~Beylina
\paper On certain initial-boundary value problems with nonlineal boundary conditions for hyperbolic equation
\jour Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya
\yr 2012
\issue 9(100)
\pages 22--30
\mathnet{http://mi.mathnet.ru/vsgu96}
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