✦ LIBER ✦
A Prüfer angle approach to singular Sturm–Liouville problems with Molčanov potentials
✍ Scribed by Paul Binding; Lyonell Boulton; Patrick J. Browne
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 161 KB
- Volume
- 208
- Category
- Article
- ISSN
- 0377-0427
No coin nor oath required. For personal study only.
✦ Synopsis
Singular Sturm-Liouville problems for -y + qy = y on (0, ∞) are studied for potentials q which are bounded below and satisfy Molčanov's necessary and sufficient condition for discrete spectrum. A Prüfer angle approach is given for eigenvalue location and eigenfunction oscillation, paralleling that for the regular case. In particular, the eigenvalues are characterized by a "right-hand boundary condition" even though q is of limit point type.