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Vestnik Samarskogo Universiteta. Estestvenno-Nauchnaya Seriya, 2016, Issue 1-2, Pages 27–32 (Mi vsgu498)  
Mathematics

Inverse problem with integral in time overdetermination and nonlocal boundary conditions for hyperbolic equation

A. V. Duzheva

Samara University, 34, Moskovskoye Shosse, Samara, 443086, Russian Federation
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Abstract: In this article, we consider a question of sovability of an inverse problem for a linear hyprbolic equation. Properties of the solution of an associated nonlocal initial-boundary problem with displacement in boundary conditions are used to develop an existence result for the identification of the unknown source. Overdetermination is represented as integral with respect to time-variable.
Keywords: inverse problem, nonlocal conditions, integral overdetermination, generalized solution, hyperbolic equation.
Received: 28.01.2016
Bibliographic databases:
Document Type: Article
UDC: 517.95
Language: Russian
Citation: A. V. Duzheva, “Inverse problem with integral in time overdetermination and nonlocal boundary conditions for hyperbolic equation”, Vestnik SamU. Estestvenno-Nauchnaya Ser., 2016, no. 1-2, 27–32
Citation in format AMSBIB
\Bibitem{Dyu16}
\by A.~V.~Duzheva
\paper Inverse problem with integral in time overdetermination and nonlocal boundary conditions for hyperbolic equation
\jour Vestnik SamU. Estestvenno-Nauchnaya Ser.
\yr 2016
\issue 1-2
\pages 27--32
\mathnet{http://mi.mathnet.ru/vsgu498}
\elib{https://elibrary.ru/item.asp?id=29345214}
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    		Вестник Самарского государственного университета. Естественнонаучная серия
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