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

^*Corresponding author for this work

School of Statistics

Tongji University

Research output: Contribution to journal › Article › peer-review

32 Scopus citations

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.

Original language	English
Pages (from-to)	1375-1386
Number of pages	12
Journal	Computers and Mathematics with Applications
Volume	49
Issue number	9-10
DOIs	https://doi.org/10.1016/j.camwa.2004.12.009
State	Published - May 2005

Keywords

Oscillation in mean
Random impulses
Second-order linear differential system
p-moment boundedness
p-moment stability

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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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SP - 1375

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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

Abstract

Keywords

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