山西大学学报(自然科学版)2017,Vol.40Issue(3):411-415,5.DOI:10.13451/j.cnki.shanxi.univ(nat.sci.).2017.03.003
一类带有时滞的非局部反应扩散系统波前解的存在性
Existence of Traveling Wave Fronts for Delayed Nonlocal Diffusion System
摘要
Abstract
This paper is concerned with the nonlocal reaction diffusion system.By using upper-lower solution approach and Schauder fixed point theorem,we prove that there exists a positive constant c* (τ1,τ2,τ3)such that for each c≥c* (τ1,τ2,τ3) the system has a traveling wave fronts with speed c.关键词
非局部反应扩散系统/波前解/上下解/Schauder不动点定理Key words
nonlocal reaction diffusion system/traveling wave fronts/upper-lower solution/Schauder fixed point theorem分类
数理科学引用本文复制引用
刘桂荣,王志梅..一类带有时滞的非局部反应扩散系统波前解的存在性[J].山西大学学报(自然科学版),2017,40(3):411-415,5.基金项目
国家自然科学基金(11471197) (11471197)
山西省自然科学基金(2014011005-1) (2014011005-1)