Eigenvalues of Sturm-Liouville problems with distribution potentials on time scales

DOI10.2989/16073606.2018.1509394zbMath1430.34101OpenAlexW2894517372MaRDI QIDQ5243388

Juan Wang, Ji-jun Ao

Publication date: 18 November 2019

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2989/16073606.2018.1509394

zbMATH Keywords

eigenvaluestime scalesSturm-Liouville problemseigenparameter-dependent boundary conditionsdistribution potentials

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Linear boundary value problems for ordinary differential equations (34B05) Boundary value problems on infinite intervals for ordinary differential equations (34B40) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15) Dynamic equations on time scales or measure chains (34N05)

Related Items (3)

Eigenvalues of Sturm-Liouville problems with distributional potentials and eigenparameter-dependent boundary conditions ⋮ THIRD ORDER BOUNDARY VALUE PROBLEM WITH FINITE SPECTRUM ON TIME SCALES ⋮ Dependence of eigenvalues of Sturm-Liouville problems on time scales with eigenparameter-dependent boundary conditions

Cites Work

• Unnamed Item
• Matrix representations of Sturm-Liouville problems with coupled eigenparameter-dependent boundary conditions
• 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
• Inverse problem for Sturm-Liouville operators with distribution potentials: reconstruction from two spectra
• Sturm-Liouville problems on time scales with separated boundary conditions
• Eigenvalues of second-order linear equations with coupled boundary conditions on time scales
• Numerical methods for a singular eigenvalue problem with eigenparameter in the boundary conditions
• Sturm-Liouville eigenvalue problems on time scales
• Sturm--Liouville problems with boundary conditions rationally dependent on the eigenparameter. II
• Matrix representations of Sturm-Liouville problems with eigenparameter-dependent boundary conditions
• Singular Sturm-Liouville operators with distribution potentials
• Completeness theorem for the dissipative Sturm-Liouville operator on bounded time scales
• Reconstruction of energy-dependent Sturm-Liouville equations from two spectra
• Discrete and continuous boundary problems
• Inequalities on Time Scales: A Survey
• Weyl-Titchmarsh theory for Sturm-Liouville operators with distributional potentials
• On the Coulomb potential in one dimension
• Inverse Spectral Problems for Sturm-Liouville Equations with Eigenparameter Dependent Boundary Conditions
• Penetrability of a one-dimensional Coulomb potential
• Green function of discontinuous boundary‐value problem with transmission conditions
• Sturm-Liouville problems with finite spectrum

This page was built for publication: Eigenvalues of Sturm-Liouville problems with distribution potentials on time scales