Existence of Solutions for One-dimensional Wave Equations with Nonlocal Conditions

Date

2001-12-10

Authors

Beilin, Sergei A.

Journal Title

Journal ISSN

Volume Title

Publisher

Southwest Texas State University, Department of Mathematics

Abstract

In this article we study an initial and boundary-value problem with a nonlocal integral condition for a one-dimensional wave equation. We prove existence and uniqueness of classical solution and find its Fourier representation. The basis used consists of a system of eigenfunctions and adjoint functions.

Description

Keywords

Mixed problem, Non-local conditions, Wave equation

Citation

Beilin, S. A. (2001). Existence of solutions for one-dimensional wave equations with nonlocal conditions. <i>Electronic Journal of Differential Equations, 2001</i>(76), pp. 1-8.

Rights

Attribution 4.0 International

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