Stable time periodic solutions for damped Sine-Gordon equations
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Date
2006-08-31
Authors
Zhu, Jianmin
Li, Zhixiang
Liu, Yicheng
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University-San Marcos, Department of Mathematics
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.
Description
Keywords
Schaefer's fixed-point theorem, Time periodic solutions, Sine-Gordon equations, Uniformly asymptotic stability
Citation
Zhu, 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.
Rights
Attribution 4.0 International