Research Article
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:10.1155/2011/416416
Published: 24 October 2010Abstract
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.
