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

Demonstratio mathematica

article

Ravi Agarwal¹  Snezhana Hristova²  Donal O’Regan³  Peter Kopanov² 

[1] Department of Mathematics, Texas A&M University-Kingsville, USA Distinguished University Professor of Mathematics, Florida Institute of Technology;Department of Applied Mathematics and Modeling, University of Plovdiv;School of Mathematics, National University of Ireland

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

DOI  :  10.1515/dema-2018-0016

学科分类：外科医学

来源: De Gruyter

【 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】

CC BY