Spectral properties of Sturm-Liouville problems with strongly singular potentials

DOI10.1007/S00025-018-0941-3zbMath1407.34034OpenAlexW2907534917WikidataQ128658452 ScholiaQ128658452MaRDI QIDQ1729908

Guoliang Shi, Yu Liu, Jun Yan

Publication date: 28 February 2019

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-018-0941-3

zbMATH Keywords

oscillationPrüfer anglesingular boundary value problemcontinuous dependence

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30) Boundary eigenvalue problems for ordinary differential equations (34B09)

Related Items (2)

Inverse nodal problems for perturbed spherical Schrödinger operators ⋮ Regularization projection method for solving bilevel variational inequality problem

Cites Work

• Unnamed Item
• Real-parameter square-integrable solutions and the spectrum of differential operators
• On the singular Weyl-Titchmarsh function of perturbed spherical Schrödinger operators
• The inverse spectral problem for radial Schrödinger operators on \([0,1\)]
• Weighted \(p\)-Laplacian problems on a half-line
• Spectral theory of ordinary differential operators
• Inverse spectral theory for a singular Sturm-Liouville operator on \([0,1\)]
• Eigenvalues of regular Sturm-Liouville problems
• Eigenvalues of limit-point Sturm-Liouville problems
• A Prüfer angle approach to singular Sturm-Liouville problems with Molčanov potentials
• Inverse spectral problems for Bessel operators
• Spectral asymptotics for perturbed spherical Schrödinger operators and applications to quantum scattering
• Discrete and continuous boundary problems
• Oscillation theory for Sturm–Liouville problems with indefinite coefficients
• Weyl-Titchmarsh theory for Sturm-Liouville operators with distributional potentials
• Inverse eigenvalue problems for perturbed spherical Schrödinger operators
• Sturm-Liouville problems for the p-Laplacian on a half-line
• Inverse eigenvalue problems for a singular Sturm-Liouville operator on (0,1)
• Dependence of Eigenvalues on the Problem

This page was built for publication: Spectral properties of Sturm-Liouville problems with strongly singular potentials