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  • 标题:Existence and Uniqueness of Smooth Positive Solutions to a Class of Singular m-Point Boundary Value Problems
  • 本地全文:下载
  • 作者:Xinsheng Du ; Zengqin Zhao
  • 期刊名称:Boundary Value Problems
  • 印刷版ISSN:1687-2762
  • 电子版ISSN:1687-2770
  • 出版年度:2009
  • 卷号:2009
  • DOI:10.1155/2009/191627
  • 出版社:Hindawi Publishing Corporation
  • 摘要:

    This paper investigates the existence and uniqueness of smooth positive solutions to a class of singular m -point boundary value problems of second-order ordinary differential equations. A necessary and sufficient condition for the existence and uniqueness of smooth positive solutions is given by constructing lower and upper solutions and with the maximal theorem. Our nonlinearity f ( t , u , v ) may be singular at v , t = 0 and/or t = 1 .

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