Eigenvalues of discrete Sturm-Liouville problems with sign-changing weight and coupled boundary conditions

DOI10.7153/oam-2020-14-35zbMath1464.39002OpenAlexW3038344089MaRDI QIDQ4988390

Fei Zhang, Maojun Ran, Chenghua Gao

Publication date: 14 May 2021

Published in: Operators and Matrices (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/oam-2020-14-35

zbMATH Keywords

eigenvalueinterlacingcoupled boundary conditionssign-changing weightsecond-order linear difference operator

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Discrete version of topics in analysis (39A12) Boundary value problems for difference equations (39A27)

Related Items (1)

Uniqueness of nonlinear inverse problem for Sturm-Liouville operator with multiple delays

Cites Work

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• Eigenvalues of discrete Sturm-Liouville problems with eigenparameter dependent boundary conditions
• Eigenvalues of discrete linear second-order periodic and antiperiodic eigenvalue problems with sign-changing weight
• Eigenvalues of periodic Sturm Liouville problems
• Canonical forms of self-adjoint boundary conditions for differential operators of order four
• Global structure of positive solutions of a discrete problem with sign-changing weight
• Eigenvalues of second-order difference equations with coupled boundary conditions
• A Sturmian separation theorem for symplectic difference systems
• Eigenvalue comparisons for second order difference equations with periodic and antiperiodic boundary conditions
• Sturm-Liouville eigenvalue problems on time scales
• Discrete oscillation theorems for symplectic eigenvalue problems with general boundary conditions depending nonlinearly on spectral parameter
• Left definite Sturm-Liouville problems with eigenparameter dependent boundary conditions
• An oscillation theorem for discrete eigenvalue problems
• Singular left-definite Sturm--Liouville problems
• Spectrum of discrete second-order Neumann boundary value problems with sign-changing weight
• Spectrum of discrete second-order difference operator with sign-changing weight and its applications
• \(J\)-self-adjoint extensions for second-order linear difference equations with complex coefficients
• Eigenvalue comparisons for second order difference equations with Neumann boundary conditions
• Spectral and oscillation theory for general second order Sturm-Liouville difference equations
• Eigenvalues of second-order difference equations with periodic and antiperiodic boundary conditions
• Discrete and continuous boundary problems
• Essential spectrum of singular discrete linear Hamiltonian systems
• Asymptotic behavior of eigenvalues and eigenfunctions of Sturm-Liouville problems with coupled boundary conditions and transmission conditions
• Oscillation and spectral theory for linear Hamiltonian systems with nonlinear dependence on the spectral parameter
• Oscillation and spectral theory for symplectic difference systems with separated boundary conditions
• Sturmian and spectral theory for discrete symplectic systems
• Second-order Sturm-Liouville difference equations and orthogonal polynomials
• The modified Parseval equality of Sturm-Liouville problems with coupled boundary condition
• Singular Sturmian separation theorems for nonoscillatory symplectic difference systems
• Discrete Oscillation
• Oscillation theorems for symplectic difference systems

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