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

Advances in Difference Equations

Shuorui Zhang¹  Jitao Sun¹ 

[1] Department of Mathematics, Tongji University, Shanghai, China

关键词: linear differential system;    random impulses;    stability;    oscillation;    Erlang distribution;   

DOI  :  10.1186/1687-1847-2013-4

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

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.

【 授权许可】

CC BY