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Open Access Open Badges 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

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

The electronic version of this article is the complete one and can be found online at: http://www.boundaryvalueproblems.com/content/2010/1/494210

Received:20 April 2010
Accepted:28 June 2010
Published:29 July 2010

© 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.


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.

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