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Vestnik Samarskogo Universiteta. Estestvenno-Nauchnaya Seriya, 2016, Issue 1-2, Pages 27–32
(Mi vsgu498)
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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
(published under the terms of the Creative Commons Attribution 4.0 International License)
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
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
Linking options:
https://www.mathnet.ru/eng/vsgu498 https://www.mathnet.ru/eng/vsgu/y2016/i1/p27
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Abstract page: | 211 | Full-text PDF : | 70 | References: | 48 |
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