Global attractiveness and quasi-invariant sets of impulsive neutral stochastic functional differential equations driven by fBm

In this paper, we are concerned with a class of impulsive neutral stochastic functional differential equations driven by fractional Brownian motion in the Hilbert space. We obtain the global attracting and quasi-invariant sets of this kind of equations driven by fractional Brownian motion with Hurst parameter H ? ( 1 / 2 , 1 ) . Especially, the sufficient conditions ensuring the exponential p-stability of the mild solution of the considered equations are obtained. In the end, one example is given to illustrate the feasibility and effectiveness of results obtained.

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