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

页码：415 / 433

页数：19

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