Travelling Wave Solutions in Delayed Reaction Diffusion Systems with Partial Monotonicity  

作　　者：Jian-hua Huang Xing-fu Zou 

机构地区：[1]Department of Mathematics, National University of Defense Technology, Changsha 410073, China [2]Department of Mathematics and Statistics, Memorial University of Newfoundland, St. John's, NF, A1C5S7, Canada

出　　处：《Acta Mathematicae Applicatae Sinica》2006年第2期243-256,共14页应用数学学报（英文版）

基　　金：Supported by the National Natural Science Foundation of China(No.19971032);the second author is supported by Natural Science Foundation of Canada;by a Petro Canada Young Innovator Award.

摘　　要：This paper deals with the existence of travelling wave fronts of delayed reaction diffusion systems with partial quasi-monotonicity. We propose a concept of ＂desirable pair of upper-lower solutions＂, through which a subset can be constructed. We then apply the Schauder＇s fixed point theorem to some appropriate operator in this subset to obtain the existence of the travelling wave fronts.This paper deals with the existence of travelling wave fronts of delayed reaction diffusion systems with partial quasi-monotonicity. We propose a concept of ＂desirable pair of upper-lower solutions＂, through which a subset can be constructed. We then apply the Schauder＇s fixed point theorem to some appropriate operator in this subset to obtain the existence of the travelling wave fronts.

关 键 词：Travelling wave fronts upper-lower solution partial monotonicity Schauder＇s fixed point theorem 

分 类 号：O17[理学—数学]