SpringerOpen Newsletter

Receive periodic news and updates relating to SpringerOpen.

Open Access Research Article

Existence and Uniqueness Results for Perturbed Neumann Boundary Value Problems

Jieming Zhang1 and Chengbo Zhai2*

Author Affiliations

1 Business College of Shanxi Universit, Taiyuan, Shanxi 030031, China

2 School of Mathematical Sciences, Shanxi University, Taiyuan, Shanxi 030006, China

For all author emails, please log on.

Boundary Value Problems 2010, 2010:494210  doi:10.1155/2010/494210

Published: 29 July 2010

Abstract

Using a fixed point theorem of general -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.