This article is cited in 3 papers

Inverse problem for a hyperbolic equation with a nonlocal boundary condition containing a delay argument

A. M. Denisov

M. V. Lomonosov Moscow State University

Abstract: 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, nonlocal condition, delay argument, inverse problem, existence theorem.

UDC: 517.95

Received: 28.04.2011

 English version: Proceedings of the Steklov Institute of Mathematics (Supplement Issues), 2013, 280, suppl. 1, S80–S87

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