Using time scales to study multi-interval Sturm-Liouville problems with interface conditions

DOI10.1007/S00025-011-0208-8zbMath1263.34032OpenAlexW2129122268MaRDI QIDQ1936937

Qing Kai Kong, Q. R. Wang

Publication date: 8 February 2013

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

Full work available at URL: https://doi.org/10.1007/s00025-011-0208-8

zbMATH Keywords

time scalesexistence of eigenvaluesinterface conditionsmulti-interval Sturm-Liouville problemsdependence on the problem

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15) Dynamic equations on time scales or measure chains (34N05)

Related Items (5)

Second-order differential operators with interior singularity ⋮ Impulsive Dirac system on time scales ⋮ Boundary value problems with eigenvalue-dependent boundary and transmission conditions ⋮ Self-adjoint Sturm-Liouville problems with an infinite number of boundary conditions ⋮ The eigenvalue problem with interaction conditions at one interior singular point

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Analysis on measure chains - a unified approach to continuous and discrete calculus
• Asymptotics of eigencurves for second order ordinary differential equations. I
• Two-interval Sturm--Liouville operators in modified Hilbert spaces
• Sturm-Liouville problems on time scales with separated boundary conditions
• Corrigendum to ``On the spectrum of almost periodic solution of second order scalar functional differential equations with piecewise constant argument [J. Math. Anal. Appl. 303 (2005) 103-118]
• Sturm-Liouville differential operators in direct sum spaces
• Basic calculus on time scales and some of its applications
• Sturm-Liouville eigenvalue problems on time scales
• Dependence of the \(n\)th Sturm-Liouville eigenvalue on the problem
• Sturmian theory on measure chains
• Eigenvalues and eigenfunctions of discontinuous Sturm-Liouville problems with eigenparameter-dependent boundary conditions
• Two-interval Sturm-Liouville operators in direct sum spaces with inner product multiples
• Completeness of Root Functions for Thermal Conduction in a Strip with Piecewise Continuous Coefficients
• Problems for Ordinary Differential Equations with Transmission Conditions
• Eigencurves for Two-Parameter Sturm-Liouville Equations
• Adjoint and Self-Adjoint Boundary Value Problems with Interface Conditions
• Left-definite Sturm-Liouville problems

This page was built for publication: Using time scales to study multi-interval Sturm-Liouville problems with interface conditions