Stability analysis of second-order differential systems with Erlang distribution random impulses

Abstract

Differential systems with random impulses are a new kind of mathematical models. In this paper, we put forward a model of second-order impulsive differential systems with Erlang distribution random impulses. Sufficient conditions are obtained for oscillation in mean and p-moment stability of this model respectively. An example is presented to illustrate the efficiency of the results obtained.

Existence and stability results for random impulsive fractional pantograph equations

“…Sanz -Serna and Stuart [10] first brought dissipative differential equations with random impulses and used Markov chains to simulate such systems. On further read on random impulsive type differential equations refer [11][12][13][14][15][16][17] and the references therein.…”

Probabilistic analysis of a class of impulsive linear random differential equations forced by stochastic processes admitting Karhunen-Loève expansions

“…Additionally, the obtained results are compared with the corresponding ones for the nonimpulsive differential equation. In [38] the same type of impulse RDEs is analyzed but assuming that impulses are driven by the Erlang distribution.…”