Matrix representations of Sturm-Liouville problems with eigenparameter-dependent boundary conditions

DOI10.1016/j.laa.2012.10.018zbMath1262.34031OpenAlexW2071103969MaRDI QIDQ1938692

Jiong Sun, Ji-jun Ao

Publication date: 22 February 2013

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2012.10.018

zbMATH Keywords

eigenvaluesSturm-Liouville problemseigenparameter-dependent boundary conditionsmatrix representations

Mathematics Subject Classification ID

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

Related Items (8)

Matrix representations of Sturm-Liouville problems with coupled eigenparameter-dependent boundary conditions ⋮ Finite spectrum of Sturm-Liouville problems with eigenparameter-dependent boundary conditions on time scales ⋮ Unnamed Item ⋮ The finite spectrum of fourth-order boundary value problems with transmission conditions ⋮ On a class of inverse Sturm-Liouville problems with eigenparameter-dependent boundary conditions ⋮ Eigenvalues of Sturm-Liouville problems with distribution potentials on time scales ⋮ Eigenvalues of a class of fourth-order boundary value problems with transmission conditions using matrix theory ⋮ Unnamed Item

Cites Work

• 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 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
• Matrix representations of Sturm-Liouville problems with finite spectrum
• Numerical methods for a singular eigenvalue problem with eigenparameter in the boundary conditions
• Floquet theory for left-definite Sturm-Liouville problems
• Sturm--Liouville problems with boundary conditions rationally dependent on the eigenparameter. II
• Regular eigenvalue problems with eigenvalue parameter in the boundary condition
• Discrete and continuous boundary problems
• Two-point boundary value problems with eigenvalue parameter contained in the boundary conditions
• ON NECESSARY AND SUFFICIENT CONDITIONS FOR THE EXISTENCE OF CARATHÉODORY SOLUTIONS OF ORDINARY DIFFERENTIAL EQUATIONS
• Inverse Spectral Problems for Sturm-Liouville Equations with Eigenparameter Dependent Boundary Conditions
• Sturm-Liouville problems with finite spectrum

This page was built for publication: Matrix representations of Sturm-Liouville problems with eigenparameter-dependent boundary conditions