PP-attracting and pp-invariant sets for a class of impulsive stochastic functional differential equations

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