Eigenvalues of discrete linear second-order periodic and antiperiodic eigenvalue problems with sign-changing weight

DOI10.1016/j.laa.2014.11.002zbMath1305.39008OpenAlexW2038875375MaRDI QIDQ477744

Chenghua Gao, Ru Yun Ma

Publication date: 9 December 2014

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

Full work available at URL: https://doi.org/10.1016/j.laa.2014.11.002

zbMATH Keywords

sign-changing weightsecond-order difference equationsantiperiodic eigenvalue problemsdiscrete linear second-order Neumann eigenvalue problemsperiodic eigenvalue problems

Mathematics Subject Classification ID

Discrete version of topics in analysis (39A12) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15) Linear difference equations (39A06)

Related Items (11)

Eigenvalues of discrete Sturm-Liouville problems with eigenparameter dependent boundary conditions ⋮ Positive solutions of a discrete second-order boundary value problems with fully nonlinear term ⋮ 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 ⋮ Spectral properties of a boundary value problem for the 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 Sturm-Liouville problems with nonlinear eigenparameter dependent boundary conditions ⋮ Positive solutions of a discrete nonlinear third-order three-point eigenvalue problem with sign-changing Green's function ⋮ \(S\)-shaped connected component of positive solutions for second-order discrete Neumann boundary value problems ⋮ Eigenvalues of discrete Sturm-Liouville problems with sign-changing weight and coupled boundary conditions

Cites Work

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• Spectral theory of second-order vector difference equations
• Discrete linear Hamiltonian eigenvalue problems
• Spectrum of discrete second-order Neumann boundary value problems with sign-changing weight
• Eigenvalue comparisons for second order difference equations with Neumann boundary conditions
• Eigenvalues of second-order difference equations with periodic and antiperiodic boundary conditions
• Discrete and continuous boundary problems
• On some linear and nonlinear eigenvalue problems with an indefinite weight function
• Second-order Sturm-Liouville difference equations and orthogonal polynomials

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