Dependence of eigenvalues of \(2m\)th-order spectral problems

DOI10.1186/s13661-017-0857-yzbMath1483.34040OpenAlexW2753783508WikidataQ59524232 ScholiaQ59524232MaRDI QIDQ2401085

Yujuan Ma, Zhaowen Zheng

Publication date: 31 August 2017

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-017-0857-y

zbMATH Keywords

eigenvaluesFréchet derivative\(2m\)th-order spectral problemdependence of eigenvalues on the problem

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Boundary eigenvalue problems for ordinary differential equations (34B09)

Related Items (6)

A discontinuous Sturm-Liouville problem with boundary conditions rationally dependent on the eigenparameter ⋮ Dependence of eigenvalues of Sturm-Liouville problems with eigenparameter dependent boundary conditions ⋮ Dependence of eigenvalues of discontinuous fourth-order differential operators with eigenparameter dependent boundary conditions ⋮ Inverse spectral problems for discontinuous Sturm-Liouville problems of Atkinson type ⋮ Friedrichs extensions for singular Hamiltonian operators with intermediate deficiency indices ⋮ Unnamed Item

Uses Software

• SLEUTH

Cites Work

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• Eigenvalues of a class of regular fourth-order Sturm-Liouville problems
• Eigenvalues variation. I: Neumann problem for Sturm--Liouville operators
• Eigenvalues variation. II: Multidimensional problems
• Characterization of eigenvalues in spectral gap for singular differential operators
• Dependence of eigenvalues of a class of fourth-order Sturm-Liouville problems on the boundary
• The classification of self-adjoint boundary conditions: separated, coupled, and mixed
• Accurate solutions of fourth order Sturm-Liouville problems
• Spectral theory of ordinary differential operators
• Eigenvalues of fourth order Sturm-Liouville problems using Fliess series
• Dependence of the \(n\)th Sturm-Liouville eigenvalue on the problem
• Dependence of eigenvalues of a class of higher-order Sturm-Liouville problems on the boundary
• Eigenvalues of regular Sturm-Liouville problems
• Numerical methods for higher order Sturm-Liouville problems
• Fliess series approach to the computation of the eigenvalues of fourth-order Sturm-Liouville problems
• Dependence of eigenvalues of Sturm-Liouville problems on the boundary
• Classification of Sturm–Liouville differential equations with complex coefficients and operator realizations
• An Oscillation Method for Fourth-Order, Selfadjoint, Two-Point Boundary Value Problems with Nonlinear Eigenvalues
• Algorithm 775
• Dependence of Eigenvalues on the Problem
• Oscillation theory and numerical solution of fourth-order Sturm—Liouville problems

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