Traveling Wavefront Solutions for Reaction-Diffusion Equation with Small Delay

被引：3

作者：

Zhao, Zhihong ^{[1
]}

Ge, Weigao ^{[2
]}

机构：

[1] Univ Sci & Technol Beijing, Sch Math & Phys, Beijing 100083, Peoples R China

[2] Beijing Inst Technol, Dept Appl Math, Beijing 100081, Peoples R China

来源：

FUNKCIALAJ EKVACIOJ-SERIO INTERNACIA | 2011年 / 54卷 / 02期

关键词：

Reaction-diffusion system; Small delay; Traveling wavefronts; Inertial manifold; Structural stability; MONOTONE ITERATION METHOD; DIFFERENTIAL EQUATIONS; SPATIOTEMPORAL DELAYS; SYSTEMS; EXISTENCE; THEOREM; MODEL;

D O I：

10.1619/fesi.54.225

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The paper is devoted to study of traveling wavefronts of reaction-diffusion system with small discrete delay, where the reaction term is not necessarily monotone or quasi-monotone. By applying the theory of inertial manifold for small discrete delay equation, we prove the existence result of traveling wavefronts of reaction-diffusion system with small time delay.

引用

页码：225 / 236

页数：12

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