Open Access

Existence and Uniqueness Results for Perturbed Neumann Boundary Value Problems

Boundary Value Problems20102010:494210

DOI: 10.1155/2010/494210

Received: 20 April 2010

Accepted: 28 June 2010

Published: 29 July 2010

Abstract

Using a fixed point theorem of general https://static-content.springer.com/image/art%3A10.1155%2F2010%2F494210/MediaObjects/13661_2010_Article_930_IEq1_HTML.gif -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.

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Authors’ Affiliations

(1)
Business College of Shanxi Universit
(2)
School of Mathematical Sciences, Shanxi University

Copyright

© J. Zhang and C. Zhai. 2010

This article is published under license to BioMed Central Ltd. 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.