Jianmin Zhu, Zhixiang Li, Yicheng Liu
Abstract:
We investigate existence and stability of time periodic solutions
for damped Sine-Gordon equations with delay under reasonable
assumptions. The key-step is constructing suitable Lyapunov
functionals and establishing the priori bound for all possible
periodic solutions. We also use the Schaefer fixed-point
theorem.
Submitted May 2, 2006. Published August 31, 2006.
Math Subject Classifications: 34K13, 35K50.
Key Words: Schaefer's fixed-point theorem; time periodic solutions;
Sine-Gordon equations; uniformly asymptotic stability.
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Jianmin Zhu Department of Mathematics and System Science College of Science, National University of Defense Technology Changsha, 410073, China email: zhujmmath@hotmail.com |
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| Zhixiang Li Department of Mathematics and System Science College of Science, National University of Defense Technology Changsha, 410073, China email: zhxli02@yahoo.com.cn | |
| Yicheng Liu Department of Mathematics and System Science College of Science, National University of Defense Technology Changsha, 410073, China email: liuyc2001@hotmail.com |
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