P-attracting And P-invariant Sets For A Class Of Impulsive Stochastic Functional Differential Equations

摘要

In this paper, a nonlinear and nonautonomous impulsive stochastic functional differential equation is considered. By establishing an L-operator differential inequality and stochastic analysis technique, we obtain the p-attracting set and p-invariant set of the impulsive stochastic functional differential equation. An example is also discussed to illustrate the efficiency of the obtained results.