Singular Sturm-Liouville problems for - y? + qy = ? y on (0, 8) are studied for potentials q which are bounded below and satisfy Molcanov'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. © 2006 Elsevier B.V. All rights reserved.
|Number of pages||9|
|Journal||Journal of Computational and Applied Mathematics|
|Issue number||1 SPEC. ISS.|
|Publication status||Published - 1 Nov 2007|
- Molčanov potential
- Prüfer angle
- Singular Sturm-Liouville problem