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

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.

UDC: 517.95

Received: 28.01.2016

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