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This paper is concerned with the existence, uniqueness and stability of mild solutions to impulsive stochastic neutral functional differential equations with finite delays driven simultaneously by a Rosenblatt process and Poisson process in a Hilbert space. Sufficient conditions for the existence of solutions are derived by means of the Banach fixed point principle. Finally, an illustrative example is given to demonstrate the effectiveness of the obtained result.

Existence and Stability for Stochastic Impulsive Neutral Partial Differential Equations Driven by Rosenblatt Process with Delay and Poisson Jumps