| 一类含时滞和扩散项的偏生态模型的振动性 |
| |
| 引用本文： | 王长有.一类含时滞和扩散项的偏生态模型的振动性[J].安徽大学学报(自然科学版),2007,31(4):1-4. |
| |
| 作者姓名： | 王长有 |
| |
| 作者单位： | 重庆邮电大学,应用数学研究所,重庆,400065 |
| |
| 基金项目： | 国家自然科学基金资助项目（10371083）;重庆市教委优秀青年基金资助项目（D2005-37） |
| |
| 摘 要： | 研究了一类含时滞和扩散项的偏生态模型解的振动性,利用平均法,通过使用偏泛函微分方程上、下解思想和泛函微分方程振动性理论,获得了其解的正性和关于正平衡态振动的充分条件,为讨论时滞偏微分方程解的振动性提供了一种有效方法,推广了文9,10]的结果.
|
| 关 键 词： | 时滞 扩散 上、下解 偏生态模型 振动性 |
| 文章编号： | 1000-2162（2007）04-0001-04 |
| 修稿时间： | 2006-09-28 |
Oscillation in a partial population equation with diffusion and delay |
| |
| WANG Chang-you.Oscillation in a partial population equation with diffusion and delay[J].Journal of Anhui University(Natural Sciences),2007,31(4):1-4. |
| |
| Authors: | WANG Chang-you |
| |
| Institution: | Institute of Applied Mathematics, Chongqing University of Post and Telecommunication, Chongqing 400065, China |
| |
| Abstract: | In this paper,by using upper-and lower-solution method of partial functional differential equations and oscillation theory of functional differential equation,the oscillation of a population equation with diffusion and delay is studied and a sufficient condition for all positive solution of the equation to oscillate about the positive equilibrium is obtained.We give a effective method for the study of oscillation in partial differential equation with delay.Some known results are extended.Finally,a model arising from ecology is given to illustrate the obtained results. |
| |
| Keywords: | delay diffusion upper-and lower-solution population equation oscillation |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
