JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2017, Vol. 52 ›› Issue (10): 64-71.doi: 10.6040/j.issn.1671-9352.0.2016.598

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μ-pseudo almost automorphic solutions for a class of stochastic evolution equations under non-Lipschitz conditions

RONG Wen-ping, CUI Jing*   

  1. School of Mathematics and Computer Science, Anhui Normal University, Wuhu 241003, Anhui, China
  • Received:2016-12-23 Online:2017-10-20 Published:2017-10-12

Abstract: We establish the existence of μ-pseudo almost automorphic mild solutions for a class of nonlinear stochastic evolution equations driven by Brownian motion under some non-Lipschitz conditions. Moreover, an example is given to illustrate our results.

Key words: stochastic evolution equation, μ-pseudo almost automorphic, fixed point theorem

CLC Number: 

  • O211.6
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