SpringerOpen Newsletter

Receive periodic news and updates relating to SpringerOpen.

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

For all author emails, please log on.

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.