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.
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页码：225 / 236
页数：12
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