EXISTENCE OF TIME PERIODIC SOLUTIONS FOR A DAMPED GENERALIZED COUPLED NONLINEAR WAVE EQUATIONS

Applied Mathematics and Mechanics (English Edition) ›› 2003, Vol. 24 ›› Issue (6): 673-683.

EXISTENCE OF TIME PERIODIC SOLUTIONS FOR A DAMPED GENERALIZED COUPLED NONLINEAR WAVE EQUATIONS

房少梅^1,2, 郭柏灵³

1. Department of Mathematics, Shaoguan University, Shaoguan, Guangdong 512005, P. R. China;
2. Graduate School, China Academy of Engineering Physics, P. O. Box 2101, Beijing 100088, P. R. China;
3. Institute of Applied Physics and Computational Mathematics, P. O. Box 8009-28, Beijing 100088, P. R. China

收稿日期:2001-05-28 修回日期:2003-03-03 出版日期:2003-06-18 发布日期:2003-06-18

EXISTENCE OF TIME PERIODIC SOLUTIONS FOR A DAMPED GENERALIZED COUPLED NONLINEAR WAVE EQUATIONS

FANG Shao-mei^1,2, GUO Bo-ling³

1. Department of Mathematics, Shaoguan University, Shaoguan, Guangdong 512005, P. R. China;
2. Graduate School, China Academy of Engineering Physics, P. O. Box 2101, Beijing 100088, P. R. China;
3. Institute of Applied Physics and Computational Mathematics, P. O. Box 8009-28, Beijing 100088, P. R. China

Received:2001-05-28 Revised:2003-03-03 Online:2003-06-18 Published:2003-06-18

摘要/Abstract

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.

中图分类号:

房少梅;郭柏灵. EXISTENCE OF TIME PERIODIC SOLUTIONS FOR A DAMPED GENERALIZED COUPLED NONLINEAR WAVE EQUATIONS[J]. Applied Mathematics and Mechanics (English Edition), 2003, 24(6): 673-683.

FANG Shao-mei;GUO Bo-ling. EXISTENCE OF TIME PERIODIC SOLUTIONS FOR A DAMPED GENERALIZED COUPLED NONLINEAR WAVE EQUATIONS[J]. Applied Mathematics and Mechanics (English Edition), 2003, 24(6): 673-683.

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EXISTENCE OF TIME PERIODIC SOLUTIONS FOR A DAMPED GENERALIZED COUPLED NONLINEAR WAVE EQUATIONS

EXISTENCE OF TIME PERIODIC SOLUTIONS FOR A DAMPED GENERALIZED COUPLED NONLINEAR WAVE EQUATIONS

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