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  • 标题:Composition Theorems of Stepanov Almost Periodic Functions and Stepanov-Like Pseudo-Almost Periodic Functions
  • 本地全文:下载
  • 作者:Wei Long ; Hui-Sheng Ding
  • 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:654695
  • DOI:10.1155/2011/654695
  • 语种:English
  • 出版社:Hindawi Publishing Corporation
  • 摘要:We establish a composition theorem of Stepanov almost periodic functions, and, with its help, a composition theorem of Stepanov-like pseudo almost periodic functions is obtained. In addition, we apply our composition theorem to study the existence and uniqueness of pseudo-almost periodic solutions to a class of abstract semilinear evolution equation in a Banach space. Our results complement a recent work due to Diagana (2008).
  • 关键词:Banach Space ; Periodic Function ; Mild Solution ; Real Banach Space ; Unique Fixed Point
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