P-attracting and p-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 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. (c) 2008 Elsevier Ltd. All rights reserved.
p-invariant set impulsive stochastic p-attracting set l-operator inequality