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  • 标题:Properties of positive solutions for the operator equation A x = λ x $Ax=\lambda x$ and applications to fractional differential equations with integral boundary conditions
  • 本地全文:下载
  • 作者:Chengbo Zhai ; Fang 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:366
  • DOI:10.1186/s13662-015-0704-3
  • 语种:English
  • 出版社:Hindawi Publishing Corporation
  • 摘要:In this article we present a new fixed point theorem for a class of generalized concave operators and we establish some properties of positive solutions for the operator equation A x = λ x $Ax=\lambda x$ . Based on them, the existence and uniqueness of positive solutions for a class of fractional differential equations with integral boundary conditions is proved. Moreover, we present some properties of positive solutions to the boundary value problem dependent on the parameter.
  • 关键词:positive solution ; generalized concave operator ; parameter ; fractional differential equation ; integral boundary condition
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