%0 Journal Article %T Existence Results of Three-Point Boundary Value Problems for Second-order Ordinary Differential Equations %A Wang Sheng-Ping %A Tsai Long-Yi %J Boundary Value Problems %D 2011 %I Springer %X 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 Carath¨¦odory or singular on its domain. %U http://www.boundaryvalueproblems.com/content/2011/901796