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INVERSE PROBLEM WITH INTEGRAL IN TIME OVERDETERMINATION AND NONLOCAL BOUNDARY CONDITIONS FOR HYPERBOLIC EQUATION
- Authors: Duzheva A.V.1
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Affiliations:
- Department of Mathematics and Business Informatics, Samara University, 34, Moskovskoye Shosse, Samara, 443086, Russian Federation.
- Issue: Vol 22, No 1-2 (2016)
- Pages: 27-32
- Section: Articles
- URL: https://journals.ssau.ru/est/article/view/4262
- DOI: https://doi.org/10.18287/2541-7525-2016-22-1-2-27-32
- ID: 4262
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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 andBusiness Informatics, Samara University, 34, Moskovskoye Shosse, Samara, 443086, Russian
Federation.
Author for correspondence.
Email: morenov.sv@ssau.ru
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