EXISTENCE AND MULTIPLICITY OF POSITIVE SOLUTIONS TO A FOURTH-ORDER MULTI-POINT BOUNDARY VALUE PROBLEM
F. Haddouchi, C. Guendouz, S. Benaicha
Abstract
In this paper, we study the existence and multiplicity of positive solutions for a nonlinear fourth-order ODE with multi-point boundary conditions and an integral boundary condition.
The main tool is Krasnosel'skii fixed point theorem on cones.
Keywords: Positive solutions; Krasnoselskii's fixed point theorem; fourth-order integral boundary value problems; cone.