Discrete Sturm-Liouville Problems With Parameter in the Boundary Conditions

DOI10.1080/1023619021000048869zbMath1013.39009OpenAlexW2154643970MaRDI QIDQ4787655

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Publication date: 26 January 2003

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/1023619021000048869

zbMATH Keywords

counterexamplediscrete Sturm-Liouville problemsdiscrete eigenfunctionsdiscrete to continuous extensionreal simple eigenvaluesreduction to a normal form

Mathematics Subject Classification ID

Discrete-time control/observation systems (93C55) Discrete version of topics in analysis (39A12)

Related Items (8)

Discrete Sturm-Liouville problems with nonlinear parameter in the boundary conditions ⋮ Spectral properties of discrete Sturm-Liouville problems with two squared eigenparameter-dependent boundary conditions ⋮ Difference boundary value problem hierarchies and the forward crum transformation ⋮ Eigenvalues of discrete Sturm-Liouville problems with nonlinear eigenparameter dependent boundary conditions ⋮ Discrete oscillation theorems for symplectic eigenvalue problems with general boundary conditions depending nonlinearly on spectral parameter ⋮ Spectra of a discrete Sturm-Liouville problem with eigenparameter-dependent boundary conditions in Pontryagin space ⋮ Inverse problems for difference equations with quadratic eigenparameter dependent boundary conditions ⋮ Hierarchies of difference boundary value problems continued

Cites Work

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• A note on eigenvalue problems with eigenvalue parameter in the boundary conditions
• Regular eigenvalue problems with eigenvalue parameter in the boundary condition
• AN EXPANSION THEOREM FOR AN EIGENVALUE PROBLEM WITH EIGENVALUE PARAMETER IN THE BOUNDARY CONDITION
• Discrete versions of continuous isoperimetric problems

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