Relative oscillation theory and essential spectra of Sturm-Liouville operators

DOI10.1016/J.JMAA.2022.126673OpenAlexW4294958509WikidataQ122809747 ScholiaQ122809747MaRDI QIDQ2084871

Carsten Trunk, Jussi Behrndt, Philipp Schmitz, Gerald Teschl

Publication date: 13 October 2022

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2203.08938

zbMATH Keywords

perturbationsessential spectrumSturm-Liouville operatorsrelative oscillation

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) General spectral theory of ordinary differential operators (34L05) General theory of ordinary differential operators (47E05) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10)

Cites Work

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• Effective Prüfer angles and relative oscillation criteria
• Spectral theory of ordinary differential operators
• Critical coupling constants and eigenvalue asymptotics of perturbed periodic Sturm-Liouville operators
• Relative oscillation theory for Sturm-Liouville operators extended
• Perturbative Oscillation Criteria and Hardy-Type Ineqalities
• Zeros of the Wronskian and Renormalized Oscillation Theory
• Boundary Value Problems, Weyl Functions, and Differential Operators
• Non-Oscillation Theorems
• On the Linear Logarithmico-Exponential Differential Equation of the Second Order

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