Existence of Solutions to a Nonlocal Boundary Value Problem with Nonlinear Growth
School of Mathematical Sciences, Xuzhou Normal University, Xuzhou, Jiangsu 221116, China
Boundary Value Problems 2011, 2011:416416 doi:10.1155/2011/416416Published: 24 October 2010
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.