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Approximating solutions of neutral stochastic evolution equations with jumps

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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.

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Authors and Affiliations

  1. Department of Mathematics, **dian University, **’an, 710071, China

    LiJun Bo

  2. School of Mathematical Sciences, Nankai University, Tian**, 300071, China

    LiJun Bo, KeHua Shi & Yong** Wang

Authors
  1. LiJun Bo
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  2. KeHua Shi
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  3. Yong** Wang
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Corresponding author

Correspondence to KeHua Shi.

Additional information

This work was supported by the LPMC at Nankai University and National Natural Science Foundation of China (Grant No. 10671036)

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Bo, L., Shi, K. & Wang, Y. Approximating solutions of neutral stochastic evolution equations with jumps. Sci. China Ser. A-Math. 52, 895–907 (2009). https://doi.org/10.1007/s11425-008-0165-1

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  • DOI: https://doi.org/10.1007/s11425-008-0165-1

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