P-attracting and p-invariant sets for a class of impulsive stochastic functional differential equations

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Abstract

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.

Keywords

P-attracting set
P-invariant set
L-operator inequality
Stochastic
Impulsive

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The work is supported by the National Natural Science Foundation of China under Grant 10671133.