Uniqueness and stability of traveling waves for periodic monostable lattice dynamical system

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:246

Article

Guo, Jong-Shenq²  Wu, Chin-Chin¹ 

[1] Natl Chung Hsing Univ, Dept Appl Math, Taichung 402, Taiwan

[2] Natl Taiwan Normal Univ, Dept Math, Taipei 11677, Taiwan

关键词: Lattice dynamical system;    Monostable;    Traveling wave;    Wave speed;    Wave profile;   

DOI  :  10.1016/j.jde.2009.03.010

来源: Elsevier

【 摘 要 】

We study the traveling waves for a lattice dynamical system with monostable nonlinearity in periodic media. It is well known that there exists a minimal wave speed such that a traveling wave exists if and only if the wave speed is above this minimal wave speed. In this paper, we first derive a stability theorem for certain waves of non-minimal speed. Moreover, we show that wave profiles of a given speed are unique up to translations. (C) 2009 Elsevier Inc. All rights reserved.

【 授权许可】

Free