Differential equations with random Gamma distributed moments of non-instantaneous impulses and p-moment exponential stability

Ravi Agarwal; Snezhana Hristova; Donal O'Regan; Peter Kopanov

doi:10.1515/dema-2018-0016

Differential equations with random Gamma distributed moments of non-instantaneous impulses and p-moment exponential stability

Ravi Agarwal
, Snezhana Hristova
, Donal O'Regan
, Peter Kopanov

Mathematics

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

2 Citations (Scopus)

Abstract

Nonlinear differential equations with impulses occurring at random time and acting noninstantaneously on finite intervals are studied.We consider the case when the time where the impulses occur is Gamma distributed. Lyapunov functions are applied to obtain sufficient conditions for the p-moment exponential stability of the trivial solution of the given system.

Original language	English
Pages (from-to)	151-170
Number of pages	20
Journal	Demonstratio Mathematica
Volume	51
Issue number	1
DOIs	https://doi.org/10.1515/dema-2018-0016
Publication status	Published - 1 Aug 2018

Keywords

fractional differential equations
non-instantaneous impulses
p-moment exponential stability
random moments of impulses

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10.1515/dema-2018-0016

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abstract = "Nonlinear differential equations with impulses occurring at random time and acting noninstantaneously on finite intervals are studied.We consider the case when the time where the impulses occur is Gamma distributed. Lyapunov functions are applied to obtain sufficient conditions for the p-moment exponential stability of the trivial solution of the given system.",

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AU - O'Regan, Donal

AU - Kopanov, Peter

PY - 2018/8/1

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N2 - Nonlinear differential equations with impulses occurring at random time and acting noninstantaneously on finite intervals are studied.We consider the case when the time where the impulses occur is Gamma distributed. Lyapunov functions are applied to obtain sufficient conditions for the p-moment exponential stability of the trivial solution of the given system.

AB - Nonlinear differential equations with impulses occurring at random time and acting noninstantaneously on finite intervals are studied.We consider the case when the time where the impulses occur is Gamma distributed. Lyapunov functions are applied to obtain sufficient conditions for the p-moment exponential stability of the trivial solution of the given system.

KW - fractional differential equations

KW - non-instantaneous impulses

KW - p-moment exponential stability

KW - random moments of impulses

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Differential equations with random Gamma distributed moments of non-instantaneous impulses and p-moment exponential stability

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Keywords

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