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Existence of time periodic solutions for a damped generalized coupled nonlinear wave equations |
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| Authors: | Fang Shao-mei Guo Bo-ling |
| Affiliation: | 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 |
| Abstract: | 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. |
| Keywords: | nonlinear wave equations priori estimate time periodic solution |
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