Global Attractiveness and Quasi-Invariant Sets of Impulsive Neutral Stochastic Functional Differential Equations Driven by Tempered Fractional Brownian Motion

摘要

In this paper,we are concerned with a class of impulsive neutral stochastic functional different equations driven by tempered fractional Brownian motion in the Hilbert space.We obtain the global attracting and quasi-invariant sets of the considered equations driven by tempered fractional Brownian motion B^(α,λ)(t)with 00.In particular,we give some sufficient conditions which ensure the exponential decay in the p-th moment of the mild solution of the considered equations.Finally,an example is given to illustrate the feasibility and effectiveness of the results obtained.