典型文献
Stability of Traveling Waves Solutions for Nonlinear Cellular Neural Networks with Distributed Delays
文献摘要：
This paper investigates the exponential stability of traveling wave solutions for nonlinear delayed cellular neural networks.As a continuity of the past work (Wu and Niu,2016;Yu,et al.,2011)on the existence and uniqueness of the traveling wave solutions,it is very reasonable and interesting to consider the exponential stability of the traveling wave solutions.By the weighted energy method,comparison principle and the first integral mean value theorem,this paper proves that,for all monotone traveling waves with the wave speed c ＜ c*1 ＜ 0 or c ＞ c*2 ＞ 0,the solutions converge time-exponentially to the corresponding traveling waves,when the initial perturbations decay at some fields.
文献关键词：
中图分类号：
作者姓名：
GUO Yingxin;GE Shuzhi Sam;ARBI Adnène
作者机构：
School of Mathematical Sciences,Qufu Normal University,Qufu 273165,China;Department of Electrical and Computer Engineering,National University of Singapore,117576,Singapore;National School of Advanced Sciences and Technologies of Borj Cedria,University of Carthage,El Khawarizmi Street,Carthage 2078,Tunisia;Laboratory of Engineering Mathematics (LR01ES13) ,Tunisia
文献出处：
引用格式：
[1]GUO Yingxin;GE Shuzhi Sam;ARBI Adnène-.Stability of Traveling Waves Solutions for Nonlinear Cellular Neural Networks with Distributed Delays)[J].系统科学与复杂性学报（英文版）,2022(01):18-31
A类：
B类：
Stability,Traveling,Waves,Solutions,Nonlinear,Cellular,Neural,Networks,Distributed,Delays,This,paper,investigates,stability,traveling,solutions,nonlinear,delayed,cellular,neural,networks,continuity,past,Wu,Niu,Yu,existence,uniqueness,very,reasonable,interesting,consider,By,weighted,energy,method,comparison,principle,first,integral,mean,value,theorem,this,proves,that,monotone,waves,speed,converge,exponentially,corresponding,when,initial,perturbations,decay,some,fields
AB值：
0.625635
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