Asymptotic stability of monostable wavefronts in discrete-time integral recursions  

作　　者：Lin Guo Li WanTong Ruan ShiGui 

机构地区：[1]Univ Miami, Dept Math, Coral Gables, FL 33124 USA [2]Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China

出　　处：《Science China Mathematics》2010年第5期148-157,共10页中国科学：数学（英文版）

基　　金：supported by National Natural Science Foundation of China(Grant No.10871085);US National Science Foundation (Grant Nos.DMS-0412047,DMS-0715772)

摘　　要：The aim of this work is to study the traveling wavefronts in a discrete-time integral recursion with a Gauss kernel in R2.We first establish the existence of traveling wavefronts as well as their precise asymptotic behavior.Then,by employing the comparison principle and upper and lower solutions technique,we prove the asymptotic stability and uniqueness of such monostable wavefronts in the sense of phase shift and circumnutation.We also obtain some similar results in R.The aim of this work is to study the traveling wavefronts in a discrete-time integral recursion with a Gauss kernel in R2.We first establish the existence of traveling wavefronts as well as their precise asymptotic behavior.Then,by employing the comparison principle and upper and lower solutions technique,we prove the asymptotic stability and uniqueness of such monostable wavefronts in the sense of phase shift and circumnutation.We also obtain some similar results in R.

关 键 词：DISCRETE-TIME INTEGRAL RECURSION comparison principle upper and lower solutions MONOSTABLE wave stability 

分 类 号：N[自然科学总论]