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Open Access Research

Existence of a solution for a three-point boundary value problem for a second-order differential equation at resonance

Juan J Nieto

Author Affiliations

Departamento de Análisis Matemático, Facultad de Matemáticas, Universidad de Santiago de Compostela, Santiago de Compostela, 15782, Spain

Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah, 21589, Saudi Arabia

Boundary Value Problems 2013, 2013:130  doi:10.1186/1687-2770-2013-130

Published: 20 May 2013

Abstract

We present a new existence result for a second-order nonlinear ordinary differential equation with a three-point boundary value problem when the linear part is noninvertible.

MSC: 34B10, 34B15.

Keywords:
nonlinear ordinary differential equation; three-point boundary value problem; problem at resonance; existence of solution