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Vestnik Samarskogo Universiteta. Estestvenno-Nauchnaya Seriya, 2017, Issue 1, Pages 7–14 (Mi vsgu543)  
Mathematics

Problem with time-dependent boundary conditions for hyperbolic equation

A. V. Dyuzheva

Samara National Research University, 34, Moskovskoye shosse, Samara, 443086, Russian Federation
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Abstract: In this paper, we consider a problem for hyperbolic equation with standard initial data and nonlocal dynamic conditions. Such conditions may arise when a thick short bar fixed by point forces and springs. The existence and uniqueness of the problem are proved. The proof is mainly based on a priori estimates and Galerkin procedure.
Keywords: hyperbolic equation, nonlocal conditions, generalized solution, dynamic conditions.
Received: 28.02.2017
Bibliographic databases:
Document Type: Article
UDC: 519.999
Language: Russian
Citation: A. V. Dyuzheva, “Problem with time-dependent boundary conditions for hyperbolic equation”, Vestnik SamU. Estestvenno-Nauchnaya Ser., 2017, no. 1, 7–14
Citation in format AMSBIB
\Bibitem{Dyu17}
\by A.~V.~Dyuzheva
\paper Problem with time-dependent boundary conditions for hyperbolic equation
\jour Vestnik SamU. Estestvenno-Nauchnaya Ser.
\yr 2017
\issue 1
\pages 7--14
\mathnet{http://mi.mathnet.ru/vsgu543}
\elib{https://elibrary.ru/item.asp?id=29945517}
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