Eigenvalue comparisons for second order difference equations with periodic and antiperiodic boundary conditions

DOI10.1007/s12190-008-0039-2zbMath1161.39018OpenAlexW2019742084MaRDI QIDQ949321

Bo Yang, Jun Ji

Publication date: 21 October 2008

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12190-008-0039-2

zbMATH Keywords

Dirichlet boundary conditionsdiscrete boundary value problemsecond order linear difference equationeigenvalue comparison(anti)periodic boundary condition

Mathematics Subject Classification ID

General spectral theory of ordinary differential operators (34L05) Additive difference equations (39A10) Discrete version of topics in analysis (39A12) Linear boundary value problems for ordinary differential equations (34B05)

Related Items (8)

Spectral properties of a boundary value problem for the discrete beam equation ⋮ Eigenvalue comparisons for a class of boundary value problems of discrete beam equation ⋮ Positive solutions of the periodic problems for quasilinear difference equation with sign-changing weight ⋮ Principal eigenvalues of a second-order difference operator with sign-changing weight and its applications ⋮ Eigenvalues of discrete linear second-order periodic and antiperiodic eigenvalue problems with sign-changing weight ⋮ Positive solutions for boundary value problems of second order difference equations and their computation ⋮ Eigenvalues of discrete Sturm-Liouville problems with sign-changing weight and coupled boundary conditions ⋮ Existence Results for a 2nth-Order Differential Equation with Sturm-Liouville Operator

Cites Work

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• Eigenvalue comparisons for a class of boundary value problems of second order difference equations
• A positivity result applied to difference equations
• Spectral theory of second-order vector difference equations
• Optimality for boundary value problems for Lipschitz equations
• Eigenvalue comparisons for boundary value problems for second order difference equations
• Eigenvalues of second-order difference equations with periodic and antiperiodic boundary conditions
• Discrete and continuous boundary problems
• Comparison Theorems for Eigenvalue Problems for nth Order Differential Equations
• Second-order Sturm-Liouville difference equations and orthogonal polynomials
• Comparison of Eigenvalues for Linear Differential Equations of Order 2n
• Spectral theory of higher-order discrete vector Sturm-Liouville problems

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