带有延迟脉冲量的脉冲随机微分方程的稳定性（英文）  

Stability of Impulsive Stochastic Functional Differential Systems with Delayed Impulses Volume

作　　者：丁健[1] 王良龙[1] 

机构地区：[1]安徽大学数学科学学院,安徽合肥230039

出　　处：《应用数学》2015年第3期507-516,共10页Mathematica Applicata

基　　金：Supported by the Anhui Provincial Nature Science Foundation(1308085MA01,1508085QA01);the Research Fund for Doctor Station of Ministry of Education of China(20113401110001);the Provincial Natural Science Research Project of Anhui Colleges(KJ2014A010)

摘　　要：本文研究带有限延迟脉冲随机泛函微分方程的p阶矩稳定性和p阶矩渐近稳定性的问题.利用Razumikhin技巧和Lyapunov函数的方法,获得方程p阶矩稳定性和p阶矩渐近稳定性的结果.This paper is concerned with pth moment stability and pth moment asymptotic stability of impulsive stochastic functional differential finite delay. Based on the Razumikhin techniques and Lyapunov functions, several criteria on pth moment stability and pth moment asymptotic stability are established. One illustrative example is given to show the effectiveness of the results.

关 键 词：脉冲随机泛函微分方程 稳定性 RAZUMIKHIN技巧 LYAPUNOV函数 

分 类 号：O231.3[理学—运筹学与控制论]