广义Logistic型泛函微分方程零解的全局吸引性

摘要

In this paper, the super Logistic type functional differential equations is investigated x'(t)+[1+x(t)]F(t,x[ · ]α)=0,t≥0,α≥1. By using some analysis methods and techniques, some sufficient conditions are obtained for global attractivity of the zero solution by means of eatimating zero solution of the equation. The reference is generalized.%研究广义Logstic型泛函微分方程x′(t)+[1+x(t)]F(t,x[·]α)=O(t≥O,α≥1)零解的全局吸引性.运用一些分析方法和技巧,对该方程的零解作出估计,得到方程零解是全局吸引的一些充分条件,结果推广并改进了现有文献中的相关结论.