Existence and stability of traveling wavefronts in a nonlocal diffusion equation with delay

被引：51

作者：

Pan, Shuxia ^{[1
,2
]}

Li, Wan-Tong ^{[2
]}

Lin, Guo ^{[2
]}

机构：

[1] Lanzhou Univ Technol, Dept Appl Math, Lanzhou 730050, Gansu, Peoples R China

[2] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Gansu, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2010年 / 72卷 / 06期

关键词：

Traveling wavefronts; Comparison principle; Upper and lower solutions; DIFFERENTIAL-EQUATIONS; ASYMPTOTIC STABILITY; EVANS FUNCTION; UNIQUENESS; SYSTEMS; MONOTONICITY; MODEL;

D O I：

10.1016/j.na.2009.12.008

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with the existence, asymptotic stability and uniqueness of traveling wavefronts in a nonlocal diffusion equation with delay. By constructing proper upper and lower solutions, the existence and asymptotic behavior of traveling wavefronts are established. Then the asymptotic stability with phase shift as well as the uniqueness up to translation of traveling wavefronts are proved by applying the idea of squeezing technique. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：3150 / 3158

页数：9

共 50 条

[1] EXISTENCE AND STABILITY OF TRAVELING WAVEFRONTS FOR A DISCRETE DIFFUSION SYSTEM WITH NONLOCAL DELAY EFFECTS
Yang, Xing-xing
Zhang, Guo-bao
Hao, Yu-cai
[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2024, 29 (04): : 1891 - 1922
[2] Existence and stability of traveling wavefronts for a nonlocal delay Belousov-Zhabotinskii system
Du, Ting-Ting
Zhang, Guo-Bao
Hao, Yu-Cai
Shu, Ya-Qin
[J]. APPLICABLE ANALYSIS, 2023, 102 (17) : 4828 - 4850
[3] Nonlinear Stability of Traveling Wavefronts for Delayed Reaction-diffusion Equation with Nonlocal Diffusion
Ma, Zhaohai
Yuan, Rong
[J]. TAIWANESE JOURNAL OF MATHEMATICS, 2016, 20 (04): : 871 - 896
[4] Stability of Traveling Wavefronts for a Nonlocal Dispersal System with Delay
Guo, Zhihua
Wu, Shi-Liang
[J]. JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS, 2019, 25 (02) : 175 - 195
[5] Stability of Traveling Wavefronts for a Nonlocal Dispersal System with Delay
Zhihua Guo
Shi-Liang Wu
[J]. Journal of Dynamical and Control Systems, 2019, 25 : 175 - 195
[6] GLOBAL STABILITY OF TRAVELING WAVEFRONTS FOR NONLOCAL REACTION-DIFFUSION EQUATIONS WITH TIME DELAY
Yang, Zhaoxing
Zhang, Guobao
[J]. ACTA MATHEMATICA SCIENTIA, 2018, 38 (01) : 289 - 302
[7] GLOBAL STABILITY OF TRAVELING WAVEFRONTS FOR NONLOCAL REACTION-DIFFUSION EQUATIONS WITH TIME DELAY
杨兆星
张国宝
[J]. Acta Mathematica Scientia, 2018, (01) : 289 - 302
[8] Existence of traveling wavefronts of discrete reaction-diffusion equations with delay
Wang X.
Zhang J.
[J]. Journal of Applied Mathematics and Computing, 2011, 35 (1-2) : 19 - 36
[9] Existence of traveling wavefronts of discrete reaction-diffusion equations with delay
Wang, Xiaohuan
Zhang, Jihui
[J]. JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2011, 35 (1-2) : 19 - 36
[10] Existence, uniqueness and asymptotic stability of traveling wavefronts in a non-local delayed diffusion equation
Shiwang M A
Jianhong W U
[J]. JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS, 2007, 19 (02) : 391 - 436

← 1 2 3 4 5 →