p-Moment stability of functional differential equations with random impulses

Shujin Wu; Xiaolin Guo; Yong Zhou

doi:10.1016/j.camwa.2006.04.026

p-Moment stability of functional differential equations with random impulses

Shujin Wu^*
, Xiaolin Guo
, Yong Zhou

^*此作品的通讯作者

统计学院

Anhui University of Finance and Economics
East China Normal University

科研成果: 期刊稿件 › 文章 › 同行评审

35 引用（Scopus）

摘要

By means of Liapunov's direct method coupled with Razumikhin technique some sufficient conditions for (uniform, uniform and globally asymptotic, uniformly globally asymptotic, and globally exponential) p-moment stability of the zero solution of functional differential equations with random impulses are presented, where the parameter λ(t) in (dV(t, x(t)))/dt is not required to be negative definite. Thus the obtained results are convenient to apply.

源语言	英语
页（从-至）	1683-1694
页数	12
期刊	Computers and Mathematics with Applications
卷	52
期	12
DOI	https://doi.org/10.1016/j.camwa.2006.04.026
出版状态	已出版 - 12月 2006

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title = "p-Moment stability of functional differential equations with random impulses",

abstract = "By means of Liapunov's direct method coupled with Razumikhin technique some sufficient conditions for (uniform, uniform and globally asymptotic, uniformly globally asymptotic, and globally exponential) p-moment stability of the zero solution of functional differential equations with random impulses are presented, where the parameter λ(t) in (dV(t, x(t)))/dt is not required to be negative definite. Thus the obtained results are convenient to apply.",

keywords = "Functional differential equation, Liapunov function, Random impulse, Razumikhin condition, p-moment stability",

author = "Shujin Wu and Xiaolin Guo and Yong Zhou",

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T1 - p-Moment stability of functional differential equations with random impulses

AU - Wu, Shujin

AU - Guo, Xiaolin

AU - Zhou, Yong

PY - 2006/12

Y1 - 2006/12

N2 - By means of Liapunov's direct method coupled with Razumikhin technique some sufficient conditions for (uniform, uniform and globally asymptotic, uniformly globally asymptotic, and globally exponential) p-moment stability of the zero solution of functional differential equations with random impulses are presented, where the parameter λ(t) in (dV(t, x(t)))/dt is not required to be negative definite. Thus the obtained results are convenient to apply.

AB - By means of Liapunov's direct method coupled with Razumikhin technique some sufficient conditions for (uniform, uniform and globally asymptotic, uniformly globally asymptotic, and globally exponential) p-moment stability of the zero solution of functional differential equations with random impulses are presented, where the parameter λ(t) in (dV(t, x(t)))/dt is not required to be negative definite. Thus the obtained results are convenient to apply.

KW - Functional differential equation

KW - Liapunov function

KW - Random impulse

KW - Razumikhin condition

KW - p-moment stability

UR - https://www.scopus.com/pages/publications/33846884996

U2 - 10.1016/j.camwa.2006.04.026

DO - 10.1016/j.camwa.2006.04.026

M3 - 文章

AN - SCOPUS:33846884996

SN - 0898-1221

VL - 52

SP - 1683

EP - 1694

JO - Computers and Mathematics with Applications

JF - Computers and Mathematics with Applications

IS - 12

ER -

p-Moment stability of functional differential equations with random impulses

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