Spectral theory of Sturm-Liouville difference operators

DOI10.1016/J.LAA.2008.09.035zbMath1158.39013OpenAlexW2160755502MaRDI QIDQ959890

Guoliang Shi, Hongyou Wu

Publication date: 12 December 2008

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

Full work available at URL: https://doi.org/10.1016/j.laa.2008.09.035

zbMATH Keywords

spectral theoryeigenvalue problemsself-adjointnesscomparison of eigenvaluesdiscrete Sturm-Liouville problemSturm-Liouville difference operator

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) General spectral theory of ordinary differential operators (34L05) Discrete version of topics in analysis (39A12) Difference operators (39A70) Linear difference operators (47B39)

Related Items (6)

Symmetric three-term recurrence equations and their symplectic structure ⋮ Spectral theory of Sturm-Liouville difference operators ⋮ Spectral analysis of \(q\)-Sturm-Liouville problem with the spectral parameter in the boundary condition ⋮ Titchmarsh-Sims-Weyl theory for complex Hamiltonian systems on Sturmian time scales ⋮ Difference operators, Green's matrix, sampling theory and applications in signal processing ⋮ Sturm-Liouville problem via coulomb type in difference equations

Cites Work

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• Spectral theory of Sturm-Liouville difference operators
• Spectral theory of second-order vector difference equations
• Trace formulas and Borg-type theorems for matrix-valued Jacobi and Dirac finite difference operators
• Discrete and continuous boundary problems
• Sturmian and spectral theory for discrete symplectic systems
• Second-order Sturm-Liouville difference equations and orthogonal polynomials

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