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Open Access Research Article

Existence of Solutions to a Nonlocal Boundary Value Problem with Nonlinear Growth

Xiaojie Lin

Author Affiliations

School of Mathematical Sciences, Xuzhou Normal University, Xuzhou, Jiangsu 221116, China

Boundary Value Problems 2011, 2011:416416  doi:10.1155/2011/416416

Published: 24 October 2010

Abstract

This paper deals with the existence of solutions for the following differential equation: , , subject to the boundary conditions: , , where , , is a continuous function, is a nondecreasing function with . Under the resonance condition , some existence results are given for the boundary value problems. Our method is based upon the coincidence degree theory of Mawhin. We also give an example to illustrate our results.