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山东大学学报（理学版） ›› 2017, Vol. 52 ›› Issue (10): 64-71.doi: 10.6040/j.issn.1671-9352.0.2016.598

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非Lipschitz条件下一类随机发展方程的μ-概几乎自守解

荣文萍,崔静*   

  1. 安徽师范大学数学计算机科学学院, 安徽 芜湖 241003
  • 收稿日期:2016-12-23 出版日期:2017-10-20 发布日期:2017-10-12
  • 通讯作者: 崔静(1982— ), 女, 博士, 副教授, 研究方向为随机微分方程及其应用. E-mail:jcui123@126.com E-mail:1429126843@qq.com
  • 作者简介:荣文萍(1992— ), 女, 硕士研究生, 研究方向为随机微分方程及其应用. E-mail:1429126843@qq.com
  • 基金资助:
    国家自然科学基金资助项目(11401010);安徽省自然科学基金资助项目(1708085MA03);安徽师范大学研究生科研与实践项目(2015cxsj118)

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

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摘要： 在非Lipschitz条件下建立了由布朗运动驱动的一类非线性随机发展方程的μ-概几乎自守解的存在性, 并举例说明结论的合理性。

关键词: μ-概几乎自守过程, 随机发展方程, 不动点定理

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

中图分类号: 

  • O211.6
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