Positive Solutions for Two-Point Semipositone Right Focal Eigenvalue Problem

  • Yuguo Lin1 and

    Affiliated with

    • Minghe Pei1Email author

      Affiliated with

      Boundary Value Problems20072007:023108

      DOI: 10.1155/2007/23108

      Received: 28 March 2007

      Accepted: 27 August 2007

      Published: 17 October 2007

      Abstract

      Krasnoselskii's fixed-point theorem in a cone is used to discuss the existence of positive solutions to semipositone right focal eigenvalue problems http://static-content.springer.com/image/art%3A10.1155%2F2007%2F23108/MediaObjects/13661_2007_Article_638_IEq1_HTML.gif , http://static-content.springer.com/image/art%3A10.1155%2F2007%2F23108/MediaObjects/13661_2007_Article_638_IEq2_HTML.gif , http://static-content.springer.com/image/art%3A10.1155%2F2007%2F23108/MediaObjects/13661_2007_Article_638_IEq3_HTML.gif , http://static-content.springer.com/image/art%3A10.1155%2F2007%2F23108/MediaObjects/13661_2007_Article_638_IEq4_HTML.gif , http://static-content.springer.com/image/art%3A10.1155%2F2007%2F23108/MediaObjects/13661_2007_Article_638_IEq5_HTML.gif , where http://static-content.springer.com/image/art%3A10.1155%2F2007%2F23108/MediaObjects/13661_2007_Article_638_IEq6_HTML.gif , http://static-content.springer.com/image/art%3A10.1155%2F2007%2F23108/MediaObjects/13661_2007_Article_638_IEq7_HTML.gif is fixed, http://static-content.springer.com/image/art%3A10.1155%2F2007%2F23108/MediaObjects/13661_2007_Article_638_IEq8_HTML.gif is continuous with http://static-content.springer.com/image/art%3A10.1155%2F2007%2F23108/MediaObjects/13661_2007_Article_638_IEq9_HTML.gif for some positive constant http://static-content.springer.com/image/art%3A10.1155%2F2007%2F23108/MediaObjects/13661_2007_Article_638_IEq10_HTML.gif .

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      Authors’ Affiliations

      (1)
      Department of Mathematics, Bei Hua University

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      Copyright

      © Y. Lin and M. Pei 2007

      This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.