Open AccessINVERSE PROBLEM WITH INTEGRAL IN TIME OVERDETERMINATION AND NONLOCAL BOUNDARY CONDITIONS FOR HYPERBOLIC EQUATION
Author(s) -
A. V. Duzheva
Publication year - 2016
Publication title -
vestnik samarskogo universiteta. estestvennonaučnaâ seriâ
Language(s) - English
Resource type - Journals
eISSN - 2712-8954
pISSN - 2541-7525
DOI - 10.18287/2541-7525-2016-22-1-2-27-32
Subject(s) - overdetermination , mathematics , mathematical analysis , inverse problem , boundary (topology) , inverse , displacement (psychology) , boundary value problem , variable (mathematics) , geometry , psychology , philosophy , psychotherapist , epistemology
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.