Error estimate of eigenvalues of perturbed second-order discrete Sturm-Liouville problems

DOI10.1016/j.laa.2008.12.016zbMath1172.39022OpenAlexW1972805845MaRDI QIDQ1014502

Yuming Shi, Haiyan Lv

Publication date: 29 April 2009

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2008.12.016

zbMATH Keywords

perturbationSturm-Liouville problemcontinuous dependenceerror estimate of eigenvaluesecond-order vector difference equation

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Additive difference equations (39A10) Discrete version of topics in analysis (39A12) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items

Dependence of eigenvalues of certain closely discrete Sturm-Liouville problems ⋮ Continuous dependence of the \(n\)-th eigenvalue of self-adjoint discrete Sturm-Liouville problems on the problem ⋮ Error estimate of eigenvalues of perturbed higher-order discrete vector boundary value problems ⋮ Error estimate of eigenvalues of discrete linear Hamiltonian systems with small perturbation

Uses Software

• SLEIGN2

Cites Work

• Unnamed Item
• Unnamed Item
• Eigenvalues of second-order difference equations with coupled boundary conditions
• Computing eigenvalues of singular Sturm-Liouville problems
• Spectral analysis of second order difference equations
• Dependence of the \(n\)th Sturm-Liouville eigenvalue on the problem
• Spectral theory of discrete linear Hamiltonian systems.
• Eigenvalues of regular Sturm-Liouville problems
• Spectral theory of second-order vector difference equations
• A spectral analysis for self-adjoint operators generated by a class of second order difference equations
• Discrete linear Hamiltonian eigenvalue problems
• Weyl--Titchmarsh theory for a class of discrete linear Hamiltonian systems
• Eigenvalues of second-order difference equations with periodic and antiperiodic boundary conditions
• Discrete and continuous boundary problems
• Matrix Analysis
• Automatic Solution of the Sturm-Liouville Problem
• Second-order Sturm-Liouville difference equations and orthogonal polynomials
• Regular and singular Sturm–Liouville problems with coupled boundary conditions
• Algorithm 810: The SLEIGN2 Sturm-Liouville Code