Dependence of eigenvalues of Sturm-Liouville problems with eigenparameter dependent boundary conditions

DOI10.1016/j.amc.2020.125214zbMath1474.34605OpenAlexW3014639458MaRDI QIDQ2177918

Kun Li, Mao-Zhu Zhang

Publication date: 7 May 2020

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

Full work available at URL: https://doi.org/10.1016/j.amc.2020.125214

zbMATH Keywords

eigenvaluesSturm-Liouville problemsdependenceeigenparameter dependent boundary conditions

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items (15)

A q-Dirac boundary value problem with eigenparameter-dependent boundary conditions ⋮ Integral characteristic function of a nonlinear Sturm-Liouville problem ⋮ Eigenvalues of a class of eigenparameter dependent third-order differential operators ⋮ Eigenvalues of Sturm-Liouville problems with distributional potentials and eigenparameter-dependent boundary conditions ⋮ Eigenvalues of one-dimensional Hamiltonian operators with an eigenparameter in the boundary condition ⋮ Dependence of eigenvalues of Dirac system on the parameters ⋮ Dependence of eigenvalues of discontinuous fourth-order differential operators with eigenparameter dependent boundary conditions ⋮ Legendre approximation method for computing eigenvalues of fourth order fractional Sturm-Liouville problem ⋮ EIGENVALUES OF STURM-LIOUVILLE PROBLEMS WITH EIGENPARAMETER DEPENDENT BOUNDARY AND INTERFACE CONDITIONS ⋮ A generalized discontinuous Sturm-Liouville problem with boundary conditions rationally dependent on the eigenparameter ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Eigenvalues of discontinuous third-order boundary value problems with eigenparameter-dependent boundary conditions ⋮ Dependence of eigenvalues of Sturm-Liouville problems on time scales with eigenparameter-dependent boundary conditions ⋮ Dependence of eigenvalues of Sturm-Liouville problems with eigenparameter-dependent boundary conditions and interface conditions

Cites Work

• The spectrum of singular Sturm-Liouville problems with eigenparameter dependent boundary conditions and its approximation
• Numerical methods for a singular eigenvalue problem with eigenparameter in the boundary conditions
• Dependence of the \(n\)th Sturm-Liouville eigenvalue on the problem
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• Dependence of eigenvalues of Sturm- Liouville problems with interface conditions
• Floquet theory for left-definite Sturm-Liouville problems
• Dependence of eigenvalues on the boundary conditions of Sturm-Liouville problems with one singular endpoint
• Eigenvalues of regular Sturm-Liouville problems
• Sturm--Liouville problems with boundary conditions rationally dependent on the eigenparameter. II
• Eigenvalues of limit-point Sturm-Liouville problems
• Dependence of eigenvalues of \(2m\)th-order spectral problems
• Regular eigenvalue problems with eigenvalue parameter in the boundary condition
• Adjointness properties for differential systems with eigenvalue-dependent boundary conditions, with application to flow-duct acoustics
• Two-point boundary value problems with eigenvalue parameter contained in the boundary conditions
• Sturm—Liouville problems and discontinuous eigenvalues
• Sturm–Liouville problems with eigenparameter dependent boundary conditions
• Dependence of Eigenvalues on the Problem
• Eigenvalues of regular fourth‐order Sturm–Liouville problems with transmission conditions
• Algorithm 810: The SLEIGN2 Sturm-Liouville Code
• Left-definite Sturm-Liouville problems
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