Open Access 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

Published: 26 October 2009

Abstract

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.