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

^*Corresponding author for this work

School of Statistics

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

35 Scopus citations

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.

Original language	English
Pages (from-to)	1683-1694
Number of pages	12
Journal	Computers and Mathematics with Applications
Volume	52
Issue number	12
DOIs	https://doi.org/10.1016/j.camwa.2006.04.026
State	Published - Dec 2006

Keywords

Functional differential equation
Liapunov function
Random impulse
Razumikhin condition
p-moment stability

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10.1016/j.camwa.2006.04.026

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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",

year = "2006",

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doi = "10.1016/j.camwa.2006.04.026",

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pages = "1683--1694",

journal = "Computers and Mathematics with Applications",

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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

Abstract

Keywords

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