Existence of Solutions for One-Dimensional Wave Equations with Nonlocal Conditions
Date
12/10/2001
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. Electronic Journal of Differential Equations, 2001(76), pp. 1-8.
Rights
Attribution 4.0 International