Journal of Inequalities and Applications 
Volume 6 (2001), Issue 4, Pages 405-413
doi:10.1155/S1025583401000248

Inequalities and eigenvalues of Sturm-Liouville problems near a singular boundary

W. N. Everitt,1 M. Marletta,2 and A. Zettl3

 1School of Mathematics and Statistics, University of Birmingham, Edgbaston, Birmingham B15 2TT, UK
2Department of Mathematics, University of Leicester, University Road, Leicester LEI 7RH, UK
3Department of Mathematics, Northern Illinois University, DeKaLB 60115-2888, IL, USA
Received 3 December 1999; Revised 14 February 2000

Abstract

We study the behavior of eigenvalues of Sturm-Liouville problems (SLP) when an endpoint of the underlying interval approaches a singularity.