Nonlocal problems for hyperbolic equations from the viewpoint of strongly regular boundary conditions

Date

2020-04-06

Authors

Pulkina, Ludmila S.

Journal Title

Journal ISSN

Volume Title

Publisher

Texas State University, Department of Mathematics

Abstract

In this article, we consider a nonlocal problem for hyperbolic equation with integral conditions and show their close connection with the notion of strongly regular boundary conditions. This has an important bearing on the method of the study of solvability. We propose also a new approach which enables us to prove a unique solvability of the nonlocal problem with integral condition.

Description

Keywords

Nonlocal problem, Hyperbolic equation, Nonlocal integral conditions, Dynamical boundary conditions, Strongly regular boundary conditions, Weak solution

Citation

Pulkina, L. S. (2020). Nonlocal problems for hyperbolic equations from the viewpoint of strongly regular boundary conditions. <i>Electronic Journal of Differential Equations, 2020</i>(28), pp. 1-20.

Rights

Attribution 4.0 International

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