The Existence of Time Periodic Solutions for a Damped Generalized Coupled Nonlinear Wave Equations

FANG Shao-mei; GUO Bo-ling

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FANG Shao-mei, GUO Bo-ling. The Existence of Time Periodic Solutions for a Damped Generalized Coupled Nonlinear Wave Equations[J]. Applied Mathematics and Mechanics, 2003, 24(6): 595-604.

Citation:

FANG Shao-mei, GUO Bo-ling. The Existence of Time Periodic Solutions for a Damped Generalized Coupled Nonlinear Wave Equations[J]. Applied Mathematics and Mechanics, 2003, 24(6): 595-604.

Citation:

FANG Shao-mei, GUO Bo-ling. The Existence of Time Periodic Solutions for a Damped Generalized Coupled Nonlinear Wave Equations[J]. Applied Mathematics and Mechanics, 2003, 24(6): 595-604.

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The 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 Date: 2001-05-28
Rev Recd Date: 2003-03-03
Publish Date: 2003-06-15

Abstract

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.
- nonlinear wave equations,
- priori estimate,
- time periodic solution

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References(7)

References

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