Solutions for a boundary value problem at resonance on [0, 8)

Abstract

An m-point boundary value problem with one-dimensional p-Laplacian at resonance on [0, 8) is considered. By establishing a continuation theorem and applying a suitable homotopy, Leray-Schauder degree, a priori estimate, the existence of solutions to the above problem is obtained. © 2013 Elsevier Ltd.