| Travelling Wave Solutions in Delayed Reaction Diffusion Systems with Partial Monotonicity |
| |
| 作者姓名： | Jian-hua Huang Xing-fu Zou |
| |
| 作者单位： | [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 |
| |
| 基金项目： | Supported by the National Natural Science Foundation of China （No.19971032）, and the second author is supported by Natural Science Foundation of Canada and 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.
|
| 关 键 词： | 行波前 局部单调性 Schauder固定点理论 反作用扩散系统 |
| 收稿时间： | 2003-06-05 |
| 修稿时间： | 2003-06-052005-07-21 |
Travelling Wave Solutions in Delayed Reaction Diffusion Systems with Partial Monotonicity |
| |
| Jian-hua Huang Xing-fu Zou.Travelling Wave Solutions in Delayed Reaction Diffusion Systems with Partial Monotonicity[J].Acta Mathematicae Applicatae Sinica,2006,22(2):243-256. |
| |
| Authors: | Jian-hua Huang Xing-fu Zou |
| |
| Institution: | (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 |
| |
| Abstract: | 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. |
| |
| Keywords: | Travelling wave fronts upper-lower solution partial monotonicity Schauder's fixed point theorem |
| 本文献已被 CNKI 维普 SpringerLink 等数据库收录！ |
