Effective Pruefer Angles and Relative Oscillation Criteria
| dc.creator | Krueger, Helge | |
| dc.creator | Teschl, Gerald | |
| dc.date | 2007-09-03 | |
| dc.date | 2007-12-21 | |
| dc.date.accessioned | 2026-07-07T10:19:17Z | |
| dc.date.available | 2026-07-07T10:19:17Z | |
| dc.description | We present a streamlined approach to relative oscillation criteria based on effective Pruefer angles adapted to the use at the edges of the essential spectrum. Based on this we provided a new scale of oscillation criteria for general Sturm-Liouville operators which answer the question whether a perturbation inserts a finite or an infinite number of eigenvalues into an essential spectral gap. As a special case we recover the Gesztesy-Uenal criterion (which works below the spectrum and contains classical criteria by Kneser, Hartman, Hille, and Weber) and the well-known results by Rofe-Beketov including the extensions by Schmidt. | |
| dc.description | 22 pages | |
| dc.identifier | https://arxiv.org/abs/0709.0127 | |
| dc.identifier | http://arxiv.org/abs/0709.0127 | |
| dc.identifier | J. Diff. Eq. 245, 3823-3848 (2008) | |
| dc.identifier | doi:10.1016/j.jde.2008.06.004 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/174452 | |
| dc.subject | Spectral Theory | |
| dc.subject | Mathematical Physics | |
| dc.subject | 34C10, 34B24 (Primary); 34L20, 34L05 (Secondary) | |
| dc.title | Effective Pruefer Angles and Relative Oscillation Criteria | |
| dc.type | text |