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Existence and Uniqueness Results for Perturbed Neumann Boundary Value Problems

Boundary Value Problems20102010:494210

Received: 20 April 2010

Accepted: 28 June 2010

Published: 29 July 2010


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.


Differential EquationPartial Differential EquationOrdinary Differential EquationFunctional EquationNeumann Boundary

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Authors’ Affiliations

Business College of Shanxi Universit, Taiyuan, China
School of Mathematical Sciences, Shanxi University, Taiyuan, China


© 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.