On one problem with dynamic nonlocal condition for ahyperbolic equation

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In this article, boundary value problem for hyperbolic partial differential equation with nonlocal data in an integral of the second kind form is considered. The emergence of dynamic conditions may be due to the presence of a damping device. Existence and uniqueness of generalized solution is proved in a given cylindrical field. There is some limitation on the input data. The uniqueness of generalized solution is proved by apriori estimates. The existence is proved by Galerkin’s method and embedding theorems.

About the authors

A.E. Savenkova

Samara State University

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


Copyright (c) 2017 А.Е. Савенкова

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