Abstract
We develop relative oscillation theory for general Sturm–Liouville differential expressions of the form [Formula presented] and prove perturbation results and invariance of essential spectra in terms of the real coefficients p, q, r. The novelty here is that we also allow perturbations of the weight function r in which case the unperturbed and the perturbed operator act in different Hilbert spaces.
Originalsprache | englisch |
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Aufsatznummer | 126673 |
Fachzeitschrift | Journal of Mathematical Analysis and Applications |
Jahrgang | 518 |
Ausgabenummer | 1 |
DOIs | |
Publikationsstatus | Veröffentlicht - 1 Feb. 2023 |
ASJC Scopus subject areas
- Analyse
- Angewandte Mathematik