Discrete Sturm-Liouville problems with nonlinear parameter in the boundary conditions

DOI10.1080/10236190701264966zbMath1124.39019OpenAlexW2151683312MaRDI QIDQ5294677

Aihua Li, Betty Jean Harmsen

Publication date: 25 July 2007

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

Full work available at URL: https://doi.org/10.1080/10236190701264966

zbMATH Keywords

difference equationsboundary value problemdiscrete Sturm-Liouville problemparameter in the boundary conditions

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Linear symmetric and selfadjoint operators (unbounded) (47B25) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) 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 (9)

Spectral properties of a fourth-order eigenvalue problem with quadratic spectral parameters in a boundary condition ⋮ Spectral properties of discrete Sturm-Liouville problems with two squared eigenparameter-dependent boundary conditions ⋮ Difference boundary value problem hierarchies and the forward crum transformation ⋮ A class of second-order differential operators with eigenparameter-dependent boundary and transmission conditions ⋮ Eigenvalues of a linear fourth-order differential operator with squared spectral parameter in a boundary condition ⋮ 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 ⋮ Inverse problems for difference equations with quadratic eigenparameter dependent boundary conditions ⋮ Hierarchies of difference boundary value problems continued

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