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Existence of Positive Solutions for Nonlinear Third-Order Boundary Value Problem

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  • Tiaoxia Dun
  • Pengyu Chen

Abstract

We are concerned with the existence of positive solutions for the nonlinear third-order three-point boundary value problem , , , , where , , is a positive parameter, is continuous. We construct Green’s function for the associated linear boundary value problem and obtain some useful properties of Green’s function. Finally, by using fixed-point index theorem in cones, we establish the existence results of positive solutions for the boundary value problem an example illustrates the application of the results obtained.

Suggested Citation

  • Tiaoxia Dun & Pengyu Chen, 2014. "Existence of Positive Solutions for Nonlinear Third-Order Boundary Value Problem," Journal of Mathematics, Hindawi, vol. 2014, pages 1-5, October.
    • Handle: RePEc:hin:jjmath:951947
    DOI: 10.1155/2014/951947
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