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Open Access Open Badges Research Article

An Approximation Approach to Eigenvalue Intervals for Singular Boundary Value Problems with Sign Changing and Superlinear Nonlinearities

Haishen Lü1*, RaviP Agarwal23 and Donal O'Regan4

Author Affiliations

1 Department of Applied Mathematics, Hohai University, Nanjing 210098, China

2 Department of Mathematical Sciences, Florida Institute of Technology, Melbourne, FL 32901-6975, USA

3 KFUPM Chair Professor, Mathematics and Statistics Department, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia

4 Department of Mathematics, National University of Ireland, Galway, Ireland

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Boundary Value Problems 2009, 2009:103867  doi:10.1155/2009/103867

The electronic version of this article is the complete one and can be found online at: http://www.boundaryvalueproblems.com/content/2009/1/103867

Received:25 June 2009
Accepted:5 October 2009
Published:26 October 2009

© 2009 The Author(s).

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.


This paper studies the eigenvalue interval for the singular boundary value problem , where may be singular at ,  , and may change sign and be superlinear at . The approach is based on an approximation method together with the theory of upper and lower solutions.

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