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

被引：0

作者：

Fang Shao-mei

Guo Bo-ling

机构：

[1] Shaoguan University,Department of Mathematics

[2] China Academy of Engineering Physics,Graduate School

[3] Institute of Applied Physics and Computational Mathematics,undefined

来源：

Applied Mathematics and Mechanics | 2003年 / 24卷 / 6期

关键词：

nonlinear wave equations; priori estimate; time periodic solution; O175.25; O175.29; 35B10;

D O I：

10.1007/BF02437868

中图分类号：

学科分类号：

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：10

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