Impulsive differential equations with Gamma distributed moments of impulses and p-moment exponential stability

R. AGARWAL; S. HRISTOVA; P. KOPANOV; D. O'Regan

doi:10.1016/S0252-9602(17)30053-X

Impulsive differential equations with Gamma distributed moments of impulses and p-moment exponential stability

R. AGARWAL
, S. HRISTOVA
, P. KOPANOV
, D. O'Regan

Mathematics

Texas A&M University-Kingsville
University of Plovdiv Paisii Hilendarski

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

8 Citations (Scopus)

Abstract

Differential equations with impulses at random moments are set up and investigated. We study the case of Gamma distributed random moments of impulses. Several properties of solutions are studied based on properties of Gammma distributions. Some sufficient conditions for p-moment exponential stability of the solutions are given.

Original language	English
Pages (from-to)	985-997
Number of pages	13
Journal	Acta Mathematica Scientia
Volume	37
Issue number	4
DOIs	https://doi.org/10.1016/S0252-9602(17)30053-X
Publication status	Published - Jul 2017

Keywords

Gamma distributed moments of impulses
Lyapunov functions
impulses
p-moment exponential stability

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10.1016/S0252-9602(17)30053-X

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title = "Impulsive differential equations with Gamma distributed moments of impulses and p-moment exponential stability",

abstract = "Differential equations with impulses at random moments are set up and investigated. We study the case of Gamma distributed random moments of impulses. Several properties of solutions are studied based on properties of Gammma distributions. Some sufficient conditions for p-moment exponential stability of the solutions are given.",

keywords = "Gamma distributed moments of impulses, Lyapunov functions, impulses, p-moment exponential stability",

author = "R. AGARWAL and S. HRISTOVA and P. KOPANOV and D. O'Regan",

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AU - AGARWAL, R.

AU - HRISTOVA, S.

AU - KOPANOV, P.

AU - O'Regan, D.

PY - 2017/7

Y1 - 2017/7

N2 - Differential equations with impulses at random moments are set up and investigated. We study the case of Gamma distributed random moments of impulses. Several properties of solutions are studied based on properties of Gammma distributions. Some sufficient conditions for p-moment exponential stability of the solutions are given.

AB - Differential equations with impulses at random moments are set up and investigated. We study the case of Gamma distributed random moments of impulses. Several properties of solutions are studied based on properties of Gammma distributions. Some sufficient conditions for p-moment exponential stability of the solutions are given.

KW - Gamma distributed moments of impulses

KW - Lyapunov functions

KW - impulses

KW - p-moment exponential stability

UR - https://www.scopus.com/pages/publications/85020274452

U2 - 10.1016/S0252-9602(17)30053-X

DO - 10.1016/S0252-9602(17)30053-X

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SP - 985

EP - 997

JO - Acta Mathematica Scientia

JF - Acta Mathematica Scientia

IS - 4

ER -

Impulsive differential equations with Gamma distributed moments of impulses and p-moment exponential stability

Abstract

Keywords

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