A Prüfer angle approach to singular Sturm-Liouville problems with Molčanov potentials

Paul Binding, Lyonell Boulton, Patrick J. Browne

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)226-234
Number of pages9
JournalJournal of Computational and Applied Mathematics
Volume208
Issue number1 SPEC. ISS.
DOIs
Publication statusPublished - 1 Nov 2007

Keywords

  • Molčanov potential
  • Prüfer angle
  • Singular Sturm-Liouville problem

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