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  • 标题:Square-mean almost automorphic mild solutions to some stochastic differential equations in a Hilbert space
  • 本地全文:下载
  • 作者:Yong-Kui Chang ; Zhi-Han Zhao ; Gaston Mandata N'Guérékata
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2011
  • 卷号:2011
  • 期号:1
  • 页码:9
  • DOI:10.1186/1687-1847-2011-9
  • 语种:English
  • 出版社:Hindawi Publishing Corporation
  • 摘要:This article deals primarily with the existence and uniqueness of square-mean almost automorphic mild solutions for a class of stochastic differential equations in a real separable Hilbert space. We study also some properties of square-mean almost automorphic functions including a compostion theorem. To establish our main results, we use the Banach contraction mapping principle and the techniques of fractional powers of an operator. Mathematics Subject Classification (2000) 34K14, 60H10, 35B15, 34F05.
  • 关键词:Stochastic differential equations ; Square-mean almost automorphic processes ; Mild solutions
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