An Approximation Approach to Eigenvalue Intervals for Singular Boundary Value Problems with Sign Changing and Superlinear Nonlinearities
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
Boundary Value Problems 2009, 2009:103867 doi:10.1155/2009/103867Published: 26 October 2009
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.