Geodesic
Inverse problem with integral in time overdetermination and nonlocal boundary conditions for hyperbolic equation
Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 1-2 (2016), pp. 27-32 Cet article a éte moissonné depuis la source Math-Net.Ru

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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, integral overdetermination, generalized solution, hyperbolic equation.
Mots-clés : nonlocal conditions 
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A. V. Duzheva. Inverse problem with integral in time overdetermination and nonlocal boundary conditions for hyperbolic equation. Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 1-2 (2016), pp. 27-32. http://geodesic.mathdoc.fr/item/VSGU_2016_1-2_a2/

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