pth mean almost periodic solutions to neutral stochastic evolution equations with infinite delay and Poisson jumps

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Abstract

In this paper, we investigate the pth mean almost periodic solution to a neutral stochastic evolution equation with infinite delay and Poisson jumps. We give a sufficient condition for the existence and uniqueness of pth mean almost periodic solution and the condition depends on the continuity of coefficients and the power of a fractional operator. We give an example to illustrate the abstract results.

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Gao, L., & Yan, L. (2019). pth mean almost periodic solutions to neutral stochastic evolution equations with infinite delay and Poisson jumps. Advances in Difference Equations, 2019(1). https://doi.org/10.1186/s13662-019-2223-0

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