ABOUT ONE TASK WITH A NONLOCAL CONDITION ON TIME VARIABLE FOR THE HYPERBOLIC EQUATION



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Abstract

In this article, boundary value problem for hyperbolic equation with nonlocal initial data in integral form is considered. The main result is that the nonlocal problem is equivalent to the classical boundary value problem for a loaded equation. This fact helps to prove the uniqueness of a solution to the problem.

About the authors

S. V. Kirichenko

Samara State University of Railway Transport

Author for correspondence.
Email: morenov@ssau.ru

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Copyright (c) 2018 Kirichenko S.V.

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