INVERSE PROBLEM WITH INTEGRAL IN TIME OVERDETERMINATION AND NONLOCAL BOUNDARY CONDITIONS FOR HYPERBOLIC EQUATION



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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.

About the authors

A. V. Duzheva

Department of Mathematics and
Business Informatics, Samara University, 34, Moskovskoye Shosse, Samara, 443086, Russian
Federation.

Author for correspondence.
Email: morenov.sv@ssau.ru

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