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  • 标题:Solutions to impulsive integrodifferential evolution equations under a noncompact evolution system
  • 本地全文:下载
  • 作者:Shaochun Ji ; Min Wang
  • 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:302
  • DOI:10.1186/s13662-015-0638-9
  • 语种:English
  • 出版社:Hindawi Publishing Corporation
  • 摘要:In this paper, we study the existence of mild solutions to impulsive integrodifferential evolution equations in Banach spaces. Based on a measure of noncompactness and important properties of semicompact sets, new existence results are obtained. Here the evolution system is only supposed to be strongly continuous, without any compact or equicontinuous assumptions. Some applications are given to illustrate the effectiveness of our results.
  • 关键词:impulsive conditions ; nonlocal conditions ; integrodifferential equation ; mild solution ; measure of noncompactness
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