EXISTENCE OF SOLUTIONS FOR ONE-DIMENSIONAL WAVE EQUATIONS WITH NONLOCAL CONDITIONS

被引：0
|
作者：
Beilin, Sergei A. [1 ]
机构：
[1] Samara State Univ, Dept Math, Samara 443011, Russia
来源：
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2001年
关键词：
Mixed problem; non-local conditions; wave equation;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
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页数：8
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