The finite spectrum of Sturm-Liouville problems with \(n\) transmission conditions and quadratic eigenparameter-dependent boundary conditions

DOI10.1515/MATH-2021-0107zbMath1485.34094OpenAlexW4212949167MaRDI QIDQ2135024

Siqin Yao, Jia Li, Xiaoling Hao, Kun Li

Publication date: 4 May 2022

Published in: Open Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/math-2021-0107

zbMATH Keywords

eigenvalueSturm-Liouville problemsfinite spectrumtransmission conditionsquadratic eigenparameter-dependent

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) General spectral theory of ordinary differential operators (34L05) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items (2)

Finite spectrum of fourth-order boundary value problems with boundary and transmission conditions dependent on the spectral parameter ⋮ Finite Spectrum of Sturm–Liouville Problems with Transmission Conditions Dependent on the Spectral Parameter

Cites Work

• Unnamed Item
• Matrix representations of Sturm-Liouville problems with coupled eigenparameter-dependent boundary conditions
• Fourth order boundary value problems with finite spectrum
• The finite spectrum of Sturm-Liouville problems with transmission conditions and eigenparameter-dependent boundary conditions
• Matrix representations of Sturm-Liouville problems with transmission conditions
• The finite spectrum of Sturm-Liouville problems with transmission conditions
• Asymptotic behaviour of eigenvalues for the discontinuous boundary value problem with functional-transmission conditions
• Matrix representations of Sturm-Liouville problems with finite spectrum
• Numerical methods for a singular eigenvalue problem with eigenparameter in the boundary conditions
• Regular fractional dissipative boundary value problems
• Eigenvalues and normalized eigenfunctions of discontinuous Sturm-Liouville problem with transmission conditions
• Finite spectrum of Sturm-Liouville problems with \(n\) transmission conditions
• Sturm--Liouville problems with boundary conditions rationally dependent on the eigenparameter. II
• On square integrable solutions of a fractional differential equation
• Finite spectrum of \(2 n\)th order boundary value problems
• Matrix representations of fourth order boundary value problems with finite spectrum
• Regular eigenvalue problems with eigenvalue parameter in the boundary condition
• Sturm-Liouville problems with boundary conditions depending quadratically on the eigenparam\-eter
• Discrete and continuous boundary problems
• Inverse problems for Sturm–Liouville equations with boundary conditions polynomially dependent on the spectral parameter
• Two-point boundary value problems with eigenvalue parameter contained in the boundary conditions
• Sturm-Liouville problems with finite spectrum

This page was built for publication: The finite spectrum of Sturm-Liouville problems with \(n\) transmission conditions and quadratic eigenparameter-dependent boundary conditions