Positive solutions for a three-point boundary value problem at resonance

This paper deals with the second order three-point boundary value problem x (t) = f t,x(t) , t∈ (0, 1), x (0) = 0, x(η)= x(1). The existence and multiplicity of positive solutions are investigated by means of the fixed point theorem in cones. © 2007 Elsevier Inc. All rights reserved.