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Approximating solutions of neutral stochastic evolution equations with jumps
Authors:LiJun Bo  KeHua Shi  YongJin Wang
Affiliation:(1) Department of Mathematics, Xidian University, Xi’an, 710071, China;(2) School of Mathematical Sciences, Nankai University, Tianjin, 300071, China
Abstract:In this paper, we establish existence and uniqueness of the mild solutions to a class of neutral stochastic evolution equations driven by Poisson random measures in some Hilbert space. Moreover, we adopt the Faedo-Galerkin scheme to approximate the solutions. This work was supported by the LPMC at Nankai University and National Natural Science Foundation of China (Grant No. 10671036)
Keywords:neutral stochastic evolution equations  Poisson random measures  Faedo-Galerkin approximation
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