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Demonstratio Mathematica

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Volume 51, Issue 1


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

Ravi Agarwal
  • 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
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/ Snezhana Hristova / Donal O’Regan / Peter Kopanov
Published Online: 2018-08-25 | DOI: https://doi.org/10.1515/dema-2018-0016


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.

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

MSC 2010: 34A08; 34A37; 34D20; 34F05


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About the article

Received: 2018-03-29

Accepted: 2018-07-11

Published Online: 2018-08-25

Citation Information: Demonstratio Mathematica, Volume 51, Issue 1, Pages 151–170, ISSN (Online) 2391-4661, DOI: https://doi.org/10.1515/dema-2018-0016.

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© by Ravi Agarwal et al., published by De Gruyter. This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License. BY-NC-ND 4.0

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