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

Tiaoxia Dun and Pengyu Chen

Journal of Mathematics, 2014, vol. 2014, 1-5

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.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:951947

DOI: 10.1155/2014/951947

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