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

Existence Theorem for Impulsive Parabolic Equations with Delay and Applications to the Population Model

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.

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.