Positive Solutions for a Class of Third-Order Three-Point Boundary Value Problem

Xiaojie Lin and Zhengmin Fu

Discrete Dynamics in Nature and Society, 2012, vol. 2012, 1-12

Abstract:

We investigate the problem of existence of positive solutions for the nonlinear third-order three-point boundary value problem , , , , where is a positive parameter, , , , are continuous. Using a specially constructed cone, the fixed point index theorems and Leray-Schauder degree, this work shows the existence and multiplicities of positive solutions for the nonlinear third-order boundary value problem. Some examples are given to demonstrate the main results.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:937670

DOI: 10.1155/2012/937670

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