Oscillation, stability, and boundedness of second-order differential systems with random impulses

被引：26

作者：

Wu, SJ ^{[1
]}

Duan, YR

机构：

[1] E China Normal Univ, Dept Stat, Shanghai 200062, Peoples R China

[2] Tongji Univ, Sch Econ & Management, Shanghai 200092, Peoples R China

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2005年 / 49卷 / 9-10期

基金：

中国国家自然科学基金;

关键词：

second-order linear differential system; random impulses; oscillation in mean; p-moment stability; p-moment boundedness;

D O I：

10.1016/j.camwa.2004.12.009

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The model of second-order linear differential systems with random impulses is brought forward in this paper. Then, necessary and sufficient conditions for oscillation in mean, p-moment stability and p-moment boundedness are obtained by several theorems that compare solutions of this system with the corresponding nonimpulsive differential system. At last, an example is presented to show the application of obtained results. (c) 2005 Elsevier Ltd. All rights reserved.

引用

页码：1375 / 1386

页数：12

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