脉冲泛函微分方程的渐近稳定性  

Asymptotic Stability for Impulsive Functional Differential Equations

作　　者：罗治国[1] 罗艳[1] 

机构地区：[1]湖南师范大学数学系,长沙410081

出　　处：《应用数学和力学》2009年第10期1234-1242,共9页Applied Mathematics and Mechanics

基　　金：国家自然科学基金资助项目(10871063);湖南省教育厅(重点)科研基金资助项目(07A038)

摘　　要：讨论了一类脉冲泛函微分方程的渐近稳定性.通过改进Liapunov泛函的上界,利用Lia-punov泛函第二方法和Jensen不等式,得到了一个一致稳定性定理和一个一致渐近稳定性定理,给出的例子说明了所得结果的优越性.The stability for a class of impulsive functional differential equation was investigated. By improving the upper bound of Liapunov functional and based on the application of the Liapunov second method together with Liapunov functional and Jensen＇s the inequality, a uniformly stability theorem and a uniformly asymptotically stability theorems are obtained. Examples are also given to demonstrate the advantage of our results.

关 键 词：稳定性 脉冲泛函微分方程 LIAPUNOV泛函 JENSEN不等式 

分 类 号：O175[理学—数学]