| 含时滞的反应扩散Giu-Lawson方程波前解的存在性 |
| |
| 引用本文： | 杨治国,李树勇,王长有.含时滞的反应扩散Giu-Lawson方程波前解的存在性[J].四川师范大学学报(自然科学版),2007,30(1):18-21. |
| |
| 作者姓名： | 杨治国 李树勇 王长有 |
| |
| 作者单位： | 四川师范大学,数学与软件科学学院,四川,成都,610066 |
| |
| 基金项目： | 四川省教育厅资助项目;四川省科技厅资助项目 |
| |
| 摘 要： | 研究含时滞反应扩散Giu-Lawson方程的行波解.利用波前解的存在性理论,通过构造一个二阶时滞微分方程的上解和下解,得到当时滞较小时,微分方程的波前解存在,当时滞较大时,即使微分方程的行波解存在,也必将失去单调性的结论.
|
| 关 键 词： | 时滞 波前解 反应扩散Giu-Lawson方程 上解 下解 |
| 文章编号： | 1001-8395（2007）01-0018-04 |
| 收稿时间： | 2005-05-01 |
| 修稿时间： | 2005年5月1日 |
Existence of Wave Front Solutions of the Delayed Reaction-diffustion Giu-Lawson Equations |
| |
| YANG Zhi-guo,LI Shu-yong,WANG Chang-you.Existence of Wave Front Solutions of the Delayed Reaction-diffustion Giu-Lawson Equations[J].Journal of Sichuan Normal University(Natural Science),2007,30(1):18-21. |
| |
| Authors: | YANG Zhi-guo LI Shu-yong WANG Chang-you |
| |
| Institution: | College of Mathematics and Software Science, Sichuan Normal University, Chengdu 610066, Sichuan |
| |
| Abstract: | In this paper, travelling wave solutions of the delayed reaction-diffusion Giu-Lawson equations are investigated. Using the existence theory of the wave front solution and constructing a upper solution and a lower solution of a second-order differential equation with delay, it is shown that wave front solutions of the Giu-Lawson equations exist when the delay is small, and travelling wave solutions of this differential equation will lose their monotonicity, even if they still exist, as the delay is further increased. |
| |
| Keywords: | Delay Wave front solution Reaction-diffusion Giu-Lawson equation Upper solution Lower solution |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
