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

Demonstratio Mathematica

Hristova Snezhana¹  Kopanov Peter¹  Agarwal Ravi²  O’Regan Donal³ 

[1] Department of Applied Mathematics and Modeling, University of Plovdiv,Plovdiv, Bulgaria;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;School of Mathematics, Statistics and Applied Mathematics, National University of Ireland,Galway, Ireland;

关键词: fractional differential equations;    random moments of impulses;    non-instantaneous impulses;    p-moment exponential stability;    34A08;    34A37;    34D20;    34F05;   

DOI  :  10.1515/dema-2018-0016

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown