| 时滞脉冲抛物型微分方程解的存在性及其在种群动力学中的应用 |
| |
| 引用本文： | 赵书芬,张建元.时滞脉冲抛物型微分方程解的存在性及其在种群动力学中的应用[J].应用数学学报,2011,34(6). |
| |
| 作者姓名： | 赵书芬 张建元 |
| |
| 作者单位： | 昭通师范高等专科学校数学系,昭通,657000 |
| |
| 摘 要： | 本文研究了一类具有时滞的脉冲抛物型方程在Neumann边值条件下解的存在性问题,利用定义上下解对的方法,给出了一个新的解的存在性定理和比较原理.作为例子,当把这种方法应用到一种群模型中时,得到了该系统正平衡点全局吸引的新结果.
|
| 关 键 词： | 脉冲抛物型方程 时滞 上下解对 |
Existence Theorem for Impulsive Parabolic Equations with Delay and Applications to the Population Model |
| |
| ZHAO SHUFEN,ZHANG JIANYUAN.Existence Theorem for Impulsive Parabolic Equations with Delay and Applications to the Population Model[J].Acta Mathematicae Applicatae Sinica,2011,34(6). |
| |
| Authors: | ZHAO SHUFEN ZHANG JIANYUAN |
| |
| Institution: | ZHAO SHUFEN ZHANG JIANYUAN (Department of Mathematics,Zhaotong Teacher's College,Zhaotong 657000) |
| |
| Abstract: | In this paper,by means of a pair of lower-upper solution,a new existence theorem of solution under Neumann boundary condition for impulsive parabolic equations with delay is obtainied.As an example,when applicated to a population model,sufficient conditions are provided for global attractivity of the equilibrium for this system. |
| |
| Keywords: | impulsive parabolic equations delay lower-upper solution pair |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
|
