Finite Spectrum of Sturm–Liouville Problems with Transmission Conditions Dependent on the Spectral Parameter

DOI10.1080/01630563.2022.2150641OpenAlexW4312192605MaRDI QIDQ5872596

Ji-jun Ao, Na Zhang

Publication date: 2 January 2023

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630563.2022.2150641

zbMATH Keywords

eigenvaluesSturm-Liouville problemsfinite spectrumtransmission conditions with spectral parameter

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) General spectral theory of ordinary differential operators (34L05) Canonical models for contractions and nonselfadjoint linear operators (47A45) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

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Finite spectrum of fourth-order boundary value problems with boundary and transmission conditions dependent on the spectral parameter

Cites Work

• Matrix representations of Sturm-Liouville problems with coupled eigenparameter-dependent boundary conditions
• Reconstruction of the diffusion equation with singular coefficients for two spectra
• The study of Jacobi and cyclic Jacobi matrix eigenvalue problems using Sturm-Liouville theory
• Inverse Sturm-Liouville problems with finite spectrum
• The finite spectrum of Sturm-Liouville problems with transmission conditions
• Sturm-Liouville problems with transfer condition Herglotz dependent on the eigenparameter: Hilbert space formulation
• Matrix representations of Sturm-Liouville problems with finite spectrum
• Inverse spectral problem for non-selfadjoint Dirac operator with boundary and jump conditions dependent on the spectral parameter
• Essentially isospectral transformations and their applications
• Floquet theory for left-definite Sturm-Liouville problems
• Discontinuous Sturm-Liouville problems with eigenparameter-dependent boundary and transmissions conditions
• Sturm--Liouville problems with boundary conditions rationally dependent on the eigenparameter. II
• Sturm-Liouville problems with transfer condition Herglotz dependent on the eigenparameter: eigenvalue asymptotics
• The finite spectrum of Sturm-Liouville problems with \(n\) transmission conditions and quadratic eigenparameter-dependent boundary conditions
• Reconstruction of the differential operator with spectral parameter in the boundary condition
• Finite spectrum of \(2 n\)th order boundary value problems
• Discrete and continuous boundary problems
• Discontinuous inverse eigenvalue problems
• Completeness of Root Functions for Thermal Conduction in a Strip with Piecewise Continuous Coefficients
• Two-point boundary value problems with eigenvalue parameter contained in the boundary conditions
• Inverse Spectral Problems for Sturm-Liouville Equations with Eigenparameter Dependent Boundary Conditions
• Problems for Ordinary Differential Equations with Transmission Conditions
• Hearing Point Masses in a String
• Finite spectrum of Sturm-Liouville problems with eigenparameter-dependent boundary conditions on time scales
• Schrödinger operators with distributional potentials and boundary conditions dependent on the eigenvalue parameter
• Green function of discontinuous boundary‐value problem with transmission conditions
• Sturm-Liouville problems with finite spectrum