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

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

doi:10.1515/dema-2018-0016

Demonstratio Mathematica (Aug 2018)

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

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

Affiliations

Agarwal Ravi: Department of Mathematics, Texas A&M University-Kingsville, Kingsville, TX 78363, USA Distinguished University Professor of Mathematics, Florida Institute of Technology,Melbourne, FL 32901, USA
Hristova Snezhana: Department of Applied Mathematics and Modeling, University of Plovdiv,Plovdiv, Bulgaria
O’Regan Donal: School of Mathematics, Statistics and Applied Mathematics, National University of Ireland,Galway, Ireland
Kopanov Peter: Department of Applied Mathematics and Modeling, University of Plovdiv,Plovdiv, Bulgaria

DOI: https://doi.org/10.1515/dema-2018-0016
Journal volume & issue: Vol. 51, no. 1
pp. 151 – 170

Abstract

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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.

Published in Demonstratio Mathematica

ISSN: 2391-4661 (Online)
Publisher: De Gruyter
Country of publisher: Poland
LCC subjects: Science: Mathematics
Website: https://www.degruyter.com/journal/key/dema/html

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