Asymptotic stability of monostable wavefronts in discrete-time integral recursions

被引：0
|
作者：
Guo Lin
WanTong Li
ShiGui Ruan
机构：
[1] Lanzhou University,School of Mathematics and Statistics
[2] University of Miami,Department of Mathematics
来源：
Science China Mathematics | 2010年 / 53卷
关键词：
discrete-time integral recursion; comparison principle; upper and lower solutions; monostable wave; stability; 35B40; 45M05; 92D25;
D O I：
暂无
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学科分类号：
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.
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页码：1185 / 1194
页数：9
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