Open Access Research Article

Positive Solutions of a Nonlinear Three-Point Integral Boundary Value Problem

Jessada Tariboon12* and Thanin Sitthiwirattham1

Author Affiliations

1 Department of Mathematics, Faculty of Applied Science, King Mongkut's University of Technology North Bangkok, Bangkok 10800, Thailand

2 Centre of Excellence in Mathematics, CHE, Sri Ayutthaya Road, Bangkok 10400, Thailand

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Boundary Value Problems 2010, 2010:519210  doi:10.1155/2010/519210

Published: 20 September 2010

Abstract

We study the existence of positive solutions to the three-point integral boundary value problem , , , , where and . We show the existence of at least one positive solution if f is either superlinear or sublinear by applying the fixed point theorem in cones.