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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. MSC: 34A37, 34A12, 34A34. © 2013 Zhang and Sun; licensee Springer.

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