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  • 标题:Existence of periodic solutions for impulsive evolution equations in ordered Banach spaces
  • 本地全文:下载
  • 作者:Huanhuan Zhang ; Yongxiang Li ; Qiang Li
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2015
  • 卷号:2015
  • 期号:1
  • 页码:323
  • DOI:10.1186/s13662-015-0653-x
  • 语种:English
  • 出版社:Hindawi Publishing Corporation
  • 摘要:In this paper, we use the perturbation method and the mixed monotone iterative technique to discuss the existence of periodic solutions for impulsive evolution equations in ordered Banach spaces. Under impulsive functions satisfying broader monotone conditions and without assumption that the lower and upper solutions exist, we obtain the existence results of ω-periodic mild solutions. Moreover, an application is given to illustrate our theoretical results.
  • 关键词:semilinear impulsive evolution equation ; upper and lower solutions ; monotone iterative technique ; periodic boundary value problems ; (C_() -semigroup
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