Multiplicity results for a three-point boundary value problem at resonance Original Research Article

This paper deals with second-order three-point boundary value problem where View the MathML source is continuous, α∈(0,∞) and η∈(0,1) are given constants such that αη=1. We develop the methods of lower and upper solutions by the connectivity properties of the solution set of parameterized families of compact vector fields. As applications of these methods, we get several multiplicity results for the problems under consideration.