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

Shujin Wu; Yongrui Duan

doi:10.1016/j.camwa.2004.12.009

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

Shujin Wu^*
, Yongrui Duan

^*此作品的通讯作者

统计学院

Tongji University

科研成果: 期刊稿件 › 文章 › 同行评审

33 引用（Scopus）

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.

源语言	英语
页（从-至）	1375-1386
页数	12
期刊	Computers and Mathematics with Applications
卷	49
期	9-10
DOI	https://doi.org/10.1016/j.camwa.2004.12.009
出版状态	已出版 - 5月 2005

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10.1016/j.camwa.2004.12.009

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

abstract = "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.",

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AB - 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.

KW - Oscillation in mean

KW - Random impulses

KW - Second-order linear differential system

KW - p-moment boundedness

KW - p-moment stability

UR - https://www.scopus.com/pages/publications/23344452851

U2 - 10.1016/j.camwa.2004.12.009

DO - 10.1016/j.camwa.2004.12.009

M3 - 文章

AN - SCOPUS:23344452851

SN - 0898-1221

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JO - Computers and Mathematics with Applications

JF - Computers and Mathematics with Applications

IS - 9-10

ER -

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

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