EXISTENCE, UNIQUENESS AND STABILITY OF TRAVELING WAVE FRONTS OF DISCRETE QUASI-LINEAR EQUATIONS WITH DELAY

被引：6
|
作者：
Lv, Guangying [1 ]
Wang, Mingxin [1 ,2 ]
机构：
[1] Southeast Univ, Dept Math, Nanjing 210018, Peoples R China
[2] Harbin Inst Technol, Ctr Sci Res, Harbin 150080, Peoples R China
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2010年 / 13卷 / 02期
关键词：
Existence; Uniqueness; Stability; Traveling wave fronts; Discrete quasi-linear equations; Delay; ASYMPTOTIC STABILITY; PROPAGATION; SYSTEMS; FAILURE;
D O I：
10.3934/dcdsb.2010.13.415
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is concerned with the existence, uniqueness and a symptotically stability of traveling wave fronts of discrete quasi-linear equations with delay. We first establish the existence of traveling wave fronts by using the super-subsolution and monotone iteration technique. Then we show that the traveling wave front is unique upto a translation. At last, we employ the comparison principle and the squeezing technique to prove that the traveling wave front is globally asymptotic stable with phase shift.
引用
收藏
页码：415 / 433
页数：19
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