p-滞后型脉冲泛函微分系统的一致有界性  

UNIFORM BOUNDEDNESS FOR IMPULSIVE FUNCTIONAL DIFFERENTIAL SYSTEMS WITH p-DELAY

作　　者：张韦玲 傅希林[1] 

机构地区：[1]山东师范大学数学科学学院,济南250014

出　　处：《山东师范大学学报（自然科学版）》2016年第4期1-6,共6页Journal of Shandong Normal University(Natural Science)

基　　金：国家自然科学基金资助项目(11571208);教育部博士点专项科研基金(博导类)项目(20123704110001)

摘　　要：本文研究p-滞后型脉冲泛函微分系统,它是一类重要的滞后型脉冲泛函微分系统,包括有界滞量和无界滞量两种情形.运用Lyapunov第二方法和Razumikhin技巧,得到了p-滞后型脉冲泛函微分系统关于两个测度的一致有界性的结果,并举例对结果进行了验证.In this paper, we study impulsive functional differential systems with p-delay, which are very important retarded impulsive functional differential systems and contain many impulsive functional differential systems with finite delay as well as with unbounded delay. By using the Lyapunov＇s second method and Razumikhin technique, we get several uniformly bounded results in terms of two measures for the impulsive functional differential systems with p-delay. And an example is also worked out to confirm results.

关 键 词：有界性 p-滞后型 脉冲泛函微分系统 两个测度 RAZUMIKHIN技巧 

分 类 号：O175.21[理学—数学]