摘要
本文利用Schauder不动点定理的方法和上、下解技巧,研究了时滞格微分方程组的行波解,给出了当系统的非线性项满足“拟单调条件”和“指数拟单调条件”时行波解的存在性.
This paper investigates the systems of delayed lattice differential equations. By Schauder fixed point theorem and upper-lower solutions technique, the existences of traveling wave front solution are established, both quasimonotone case and non-quasimonotone case are considered.
出处
《数学年刊(A辑)》
CSCD
北大核心
2004年第2期153-164,共12页
Chinese Annals of Mathematics
基金
国家自然科学基金(No.19971032)资助的项目.
关键词
行波解
Schaluder不动点定理
上下解
拟单调性
Traveling wave fronts, Schauder fixed point theorem, Upper and lower solutions, Quasimonotonicity