Regular approximations of singular Sturm-Liouville problems with limit-circle endpoints

DOI10.1007/BF03323382zbMath1088.34018OpenAlexW2006208715MaRDI QIDQ1888675

Anton Zettl, Lingju Kong, Hongyou Wu, Qing Kai Kong

Publication date: 26 November 2004

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

Full work available at URL: https://doi.org/10.1007/bf03323382

zbMATH Keywords

singular Sturm-Liouville problemselfadjoint realizationlimit-circle endpoint

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items (12)

Regular approximation of singular Sturm-Liouville problems with transmission conditions ⋮ Multiplicity of Sturm--Liouville eigenvalues ⋮ A note on eigenvalues of a class of singular continuous and discrete linear Hamiltonian systems ⋮ Regular approximations of spectra of singular discrete linear Hamiltonian systems with one singular endpoint ⋮ The bounds of eigenvalue for complex singular boundary value problems ⋮ Regular approximation of singular third-order differential operators ⋮ Approximation of eigenvalues below the essential spectra of singular second-order symmetric linear difference equations ⋮ Regular approximations of spectra of singular second-order symmetric linear difference equations ⋮ Eigenvalues of limit-point Sturm-Liouville problems ⋮ Regular approximation of linear Hamiltonian operators with two singular endpoints ⋮ Regular approximations of isolated eigenvalues of singular second-order symmetric linear difference equations ⋮ A priori bounds and existence of non-real eigenvalues for singular indefinite Sturm–Liouville problems with limit-circle type endpoints

Uses Software

• SLEIGN2

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Multiplicity of Sturm--Liouville eigenvalues
• Spectral theory of ordinary differential operators
• Computing eigenvalues of singular Sturm-Liouville problems
• Inequalities among eigenvalues of Sturm-Liouville problems
• Dependence of the \(n\)th Sturm-Liouville eigenvalue on the problem
• Regular approximations of singular Sturm-Liouville problems
• Oscillation theory for Sturm–Liouville problems with indefinite coefficients
• Matrix Analysis
• Singular Sturm-Liouville Problems: The Friedrichs Extension and Comparison of Eigenvalues
• Sturm—Liouville problems and discontinuous eigenvalues
• Dependence of Eigenvalues on the Problem
• Sturm-Liouville Problems Whose Leading Coefficient Function Changes Sign
• On the unboundedness below of the Sturm—Liouville operator
• Algorithm 810: The SLEIGN2 Sturm-Liouville Code
• Inequalities and eigenvalues of Sturm-Liouville problems near a singular boundary

This page was built for publication: Regular approximations of singular Sturm-Liouville problems with limit-circle endpoints