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

共 50 条

[41] Traveling wavefronts of a delayed temporally discrete reaction-diffusion equation [J].

Guo, Zhiming ;

Guo, Hongpeng ;

Chen, Yuming .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2021, 496 (01)

[42] Global stability of reaction-diffusion equation with nonlocal delay [J].

Qiu, Huanhuan ;

Ren, Beijia ;

Zou, Rong .

APPLIED MATHEMATICS LETTERS, 2025, 163

[43] Traveling waves for reaction-diffusion PDE coupled to difference equation with nonlocal dispersal term and time delay [J].

Adimy, Mostafa ;

Chekroun, Abdennasser ;

Kazmierczak, Bogdan .

MATHEMATICAL MODELLING OF NATURAL PHENOMENA, 2022, 17

[44] TRAVELING WAVE SOLUTIONS FOR TIME PERIODIC REACTION-DIFFUSION SYSTEMS [J].

Bo, Wei-Jian ;

Lin, Guo ;

Ruan, Shigui .

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2018, 38 (09) :4329-4351

[45] Traveling wave solutions for a competitive reaction-diffusion system and their asymptotics [J].

Hou, Xiaojie ;

Leung, Anthony W. .

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2008, 9 (05) :2196-2213

[46] Traveling waves for Nonlocal and Non-monotone Delayed Reaction-diffusion Equations [J].

Xu, Zhi Ting ;

Weng, Pei Xuan .

ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2013, 29 (11) :2159-2180

[47] Traveling fronts for a delayed reaction-diffusion system with a quiescent stage [J].

Wu, Shi-Liang ;

Zhao, Hai-Qin .

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2011, 16 (09) :3610-3621

[48] An inverse problem for nonlocal reaction-diffusion equations with time-delay [J].

Yang, Lin ;

Xu, Dinghua .

APPLICABLE ANALYSIS, 2024, 103 (16) :3067-3085

[49] On the geometry of wave solutions of a delayed reaction-diffusion equation [J].

Trofimchuk, Elena ;

Alvarado, Pedro ;

Trofimchuk, Sergei .

JOURNAL OF DIFFERENTIAL EQUATIONS, 2009, 246 (04) :1422-1444

[50] Entire solutions of non-quasi-monotone delayed reaction-diffusion equations with applications [J].

Wu, Shi-Liang ;

Hsu, Cheng-Hsiung .

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2014, 144 (05) :1085-1112

← 1 2 3 4 5 →