Positive Solutions of a Nonlinear Three-Point Integral Boundary Value Problem
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
Boundary Value Problems 2010, 2010:519210 doi:10.1155/2010/519210Published: 20 September 2010
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.