GLOBAL STABILITY OF TRAVELING WAVES FOR A SPATIALLY DISCRETE DIFFUSION SYSTEM WITH TIME DELAY

被引：2

作者：

Liu, Ting ^{[1
]}

ZHANG, GUO-BAO ^{[1
]}

机构：

[1] Northwest Normal Univ, Coll Math & Stat, Lanzhou 730070, Gansu, Peoples R China

来源：

ELECTRONIC RESEARCH ARCHIVE | 2021年 / 29卷 / 04期

关键词：

Spatially discrete diffusion system; traveling waves; global stability; weighted energy method; the Fourier transform; ASYMPTOTIC STABILITY; EXPONENTIAL STABILITY; EQUATIONS; FRONTS; EXISTENCE; OSCILLATIONS;

D O I：

10.3934/era.2021003

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This article deals with the global stability of traveling waves of a spatially discrete diffusion system with time delay and without quasi-monotonicity. Using the Fourier transform and the weighted energy method with a suitably selected weighted function, we prove that the monotone or non-monotone traveling waves are exponentially stable in L-infinity(R) x L-infinity(R) with the exponential convergence rate e(-mu t) for some constant mu > 0.

引用

页码：2599 / 2618

页数：20

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