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

Agarwal R., Hristova S., O’Regan D., Kopanov P.

Demonstratio Mathematica

2018

Vol. 51, nr 1

151--170

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.