一类带分布时滞的双系统微分方程的全局吸引集  

Global Attracting Sets for a Class of Bidirectional Functional Differential Equations with Distributed Delays

作　　者：向丽[1] 

机构地区：[1]中国民航飞行学院计算机学院,四川广汉618307

出　　处：《四川师范大学学报（自然科学版）》2013年第5期712-716,共5页Journal of Sichuan Normal University（Natural Science）

基　　金：四川省教育厅自然科学重点基金(10ZA032)资助项目

摘　　要：通过积分不等式技巧以及非负矩阵的相关性质,获得了一类带分布时滞的双系统微分方程解有界和存在全局吸引集的充分条件,并给出了零解全局渐近稳定的条件,推广了一些早期的相关结果,并给出例子进行验证.By using both the properties of nonnegative matrix and the techniques of integral inequalities, we obtain the sufficient conditions for the existence of boundedness and the attracting set of a class of bidirectional functional differential equations with distrib- uted delays. The results relative to the same problem are extended. An example is also worked out to illustrate those results.

关 键 词：吸引集 有界性 非负矩阵 

分 类 号：O175.13[理学—数学]