摘要
研究了双稳时滞系统波前解的全局指数稳定性.在拟单调条件下,首先利用抽象泛函微分方程理论建立了R上时滞反应扩散系统解的存在性和比较原理,然后运用基于比较原理的挤压技术证明该系统的双稳波是全局指数稳定的.
This paper is concerned with the global exponential stability of traveling fronts of a bistable system with delay.Under the assumption of quasimonotonicity,the existence and comparison theorem of solutions are first established for reaction-diffusion systems with delay on R by using the theory of abstract functional differential equations.The global exponential stability of bistable traveling fronts is then proved by the squeezing technique based on the comparison principle.
出处
《数学年刊（A辑）》
CSCD
北大核心
2010年第4期451-462,共12页
Chinese Annals of Mathematics
基金
国家自然科学基金(No.10871085)资助的项目.
关键词
指数稳定性
行波
比较原理
Exponential stability
Traveling waves
Comparison principle
