Electronic Journal of Differential Equations,
Vol. 2006(2006), No. 99, pp. 1-10.

Title: Stable time periodic solutions for damped  Sine-Gordon equations

Authors: Jianmin Zhu (Univ. of Defense Technology, Changsha, China)
         Zhixiang Li (Univ. of Defense Technology, Changsha, China)
	 Yicheng Liu (Univ. of Defense Technology, Changsha, China)

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.