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  • Research Article
  • Open Access

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

Boundary Value Problems20092009:103867

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


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.


  • Differential Equation
  • Partial Differential Equation
  • Ordinary Differential Equation
  • Functional Equation
  • Approximation Approach

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Authors’ Affiliations

Department of Applied Mathematics, Hohai University, Nanjing, 210098, China
Department of Mathematical Sciences, Florida Institute of Technology, Melbourne, FL 32901-6975, USA
KFUPM Chair Professor, Mathematics and Statistics Department, King Fahd University of Petroleum and Minerals, Dhahran, 31261, Saudi Arabia
Department of Mathematics, National University of Ireland, Galway, Ireland


© Haishen Lü et al. 2009

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.