Boundary Value Problems
Volume 2010 (2010), Article ID 494210, 10 pages
doi:10.1155/2010/494210
Research Article

Existence and Uniqueness Results for Perturbed Neumann Boundary Value Problems

Jieming Zhang1 and Chengbo Zhai2

1Business College of Shanxi Universit, Taiyuan, Shanxi 030031, China
2School of Mathematical Sciences, Shanxi University, Taiyuan, Shanxi 030006, China

Received 20 April 2010; Accepted 28 June 2010

Academic Editor: Irena Rachůnková

Copyright © 2010 Jieming Zhang and Chengbo Zhai. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

Using a fixed point theorem of general α-concave operators, we present in this paper criteria which guarantee the existence and uniqueness of positive solutions for two classes of nonlinear perturbed Neumann boundary value problems for second-order differential equations. The theorems for Neumann boundary value problems obtained are very general.