Global Asymptotic Stability in a Class of Reaction-Diffusion Equations with Time Delay

被引：0

作者：

Yuan, Yueding ^{[1
,2
,3
]}

Guo, Zhiming ^{[1
,3
]}

机构：

[1] Guangzhou Univ, Sch Math & Informat Sci, Guangzhou 510006, Guangdong, Peoples R China

[2] Yichun Univ, Sch Math & Comp Sci, Yichun 336000, Peoples R China

[3] Guangzhou Univ, Guangdong Higher Educ Inst, Key Lab Math & Interdisciplinary Sci, Guangzhou 510006, Guangdong, Peoples R China

来源：

ABSTRACT AND APPLIED ANALYSIS | 2014年

基金：

中国国家自然科学基金; 高等学校博士学科点专项科研基金;

关键词：

DIFFERENTIAL EQUATIONS; WAVE-FRONTS; MODEL;

D O I：

10.1155/2014/378172

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study a very general class of delayed reaction-diffusion equations in which the reaction term can be nonmonotone and spatially nonlocal. By using a fluctuation method, combined with the careful analysis of the corresponding characteristic equations, we obtain some sufficient conditions for the global asymptotic stability of the trivial solution and the positive steady state to the equations subject to the Neumann boundary condition.

引用

页数：8

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