Regular approximations of isolated eigenvalues of singular second-order symmetric linear difference equations

DOI10.1186/s13662-016-0850-2zbMath1419.39007OpenAlexW2346970419WikidataQ59464082 ScholiaQ59464082MaRDI QIDQ1796880

Yuming Shi, Yan Liu

Publication date: 17 October 2018

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-016-0850-2

zbMATH Keywords

error estimateregular approximationself-adjoint subspace extensionspectral exactnesssymmetric linear difference equation

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Additive difference equations (39A10) Approximations and expansions (41A99) Linear relations (multivalued linear operators) (47A06)

Related Items (4)

Stability of deficiency indices for discrete Hamiltonian systems under bounded perturbations ⋮ Regular approximations of spectra of singular discrete linear Hamiltonian systems with one singular endpoint ⋮ Approximation of eigenvalues below the essential spectra of singular second-order symmetric linear difference equations ⋮ Invariance of deficiency indices of second-order symmetric linear difference equations under perturbations

Cites Work

• Defect indices and definiteness conditions for a class of discrete linear Hamiltonian systems
• Self-adjoint extensions for second-order symmetric linear difference equations
• Operational calculus of linear relations
• Eigenfunction expansions associated with pairs of ordinary differential expressions
• Computing eigenvalues of singular Sturm-Liouville problems
• Self-adjoint extensions of symmetric subspaces
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• Self-adjoint subspace extensions of nondensely defined symmetric operators
• Regular approximations of singular Sturm-Liouville problems with limit-circle endpoints
• Approximation of isolated eigenvalues of general singular ordinary differential operators
• Spectral properties of self-adjoint subspaces
• Resolvent convergence and spectral approximations of sequences of self-adjoint subspaces
• Regular approximations of singular Sturm-Liouville problems
• Regular approximations of spectra of singular second-order symmetric linear difference equations
• Essential spectrum of singular discrete linear Hamiltonian systems
• Spectral properties of singular discrete linear Hamiltonian systems
• Componentwise and Cartesian decompositions of linear relations
• On the approximation of isolated eigenvalues of ordinary differential operators
• Convergence of regular approximations to the spectra of singular fourth-order Sturm–Liouville problems
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