Existence of time periodic solutions for a damped generalized coupled nonlinear wave equations

被引：0

作者：

Fang, SM ^{[1
]}

Guo, BL

机构：

[1] Shaoguan Univ, Dept Math, Shaoguan 512005, Guangdong, Peoples R China

[2] China Acad Engn Phys, Grad Sch, Beijing 100088, Peoples R China

[3] Inst Appl Phys & Computat Math, Beijing 100088, Peoples R China

来源：

APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION | 2003年 / 24卷 / 06期

关键词：

nonlinear wave equations; priori estimate; time periodic solution;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The time periodic solution problem of damped generalized coupled nonlinear wave equations with periodic boundary condition was studied. By, using the Galerkin method to construct the approximating sequence of time periodic solutions, a priori estimate and Laray-Schauder fixed point theorem to prove the convergence of,the approximate solutions, the existence of time periodic solutions for a damped generalized coupled nonlinear wave equations can be obtained.

引用

页码：673 / 683

页数：11

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