Existence and Uniqueness Results for Perturbed Neumann Boundary Value Problems

  • Jieming Zhang1 and

    Affiliated with

    • Chengbo Zhai2Email author

      Affiliated with

      Boundary Value Problems20102010:494210

      DOI: 10.1155/2010/494210

      Received: 20 April 2010

      Accepted: 28 June 2010

      Published: 29 July 2010


      Using a fixed point theorem of general http://static-content.springer.com/image/art%3A10.1155%2F2010%2F494210/MediaObjects/13661_2010_Article_930_IEq1_HTML.gif -concave operators, we present in this paper criteria which guarantee the existence and uniqueness of positive solutions for two classes of nonlinear perturbed Neumann boundary value problems for second-order differential equations. The theorems for Neumann boundary value problems obtained are very general.

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      Authors’ Affiliations

      Business College of Shanxi Universit
      School of Mathematical Sciences, Shanxi University


      © J. Zhang and C. Zhai. 2010

      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.