Zhu, JianminLi, ZhixiangLiu, Yicheng2021-07-202021-07-202006-08-31Zhu, J., Li, Z., & Liu, Y. (2006). Stable time periodic solutions for damped Sine-Gordon equations. <i>Electronic Journal of Differential Equations, 2006</i>(99), pp. 1-10.1072-6691https://hdl.handle.net/10877/13972We 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.Text10 pages1 file (.pdf)enAttribution 4.0 InternationalSchaefer's fixed-point theoremTime periodic solutionsSine-Gordon equationsUniformly asymptotic stabilityArticle