Open Access Research Article

Existence Results of Three-Point Boundary Value Problems for Second-order Ordinary Differential Equations

Sheng-Ping Wang1* and Long-Yi Tsai2

Author Affiliations

1 Holistic Education Center, Cardinal Tien College of Healthcare and Management, No.11, Zhongxing Road, Sanxing Township, Yilan County 26646, Taiwan

2 Department of Mathematical Sciences, National ChengChi University, Taipei 11605, Taiwan

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Boundary Value Problems 2011, 2011:901796  doi:10.1155/2011/901796

Published: 28 September 2010

Abstract

We establish existence results of the following three-point boundary value problems: , , and , where and . The approach applied in this paper is upper and lower solution method associated with basic degree theory or Schauder's fixed point theorem. We deal with this problem with the function which is Carathéodory or singular on its domain.