Geodesic
Inverse problem for a~hyperbolic equation with a~nonlocal boundary condition containing a~delay argument
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 18 (2012) no. 1, pp. 139-146

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We study an initial-boundary value problem for a hyperbolic equation with a nonlocal boundary condition containing a delay argument. The inverse problem is formulated, which consists in finding the unknown coefficient of the hyperbolic equation from a solution of the initial-boundary value problem specified at a fixed time. An existence theorem for a solution of the inverse problem is proved.
Keywords: hyperbolic equation, delay argument, inverse problem, existence theorem.
Mots-clés : nonlocal condition 
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     title = {Inverse problem for a~hyperbolic equation with a~nonlocal boundary condition containing a~delay argument},
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A. M. Denisov. Inverse problem for a~hyperbolic equation with a~nonlocal boundary condition containing a~delay argument. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 18 (2012) no. 1, pp. 139-146. http://geodesic.mathdoc.fr/item/TIMM_2012_18_1_a10/