Sturm-Liouville operators on time scales

Abstract

We establish the connection between Sturm-Liouville equations on time scales and Sturm--Liouville equations with measure-valued coefficients. Based on this connection we generalize several results for Sturm-Liouville equations on time scales which have been obtained by various authors in the past.

12 pages

References in corpus (1)

• On the connection between the Hilger and Radon--Nikodym derivatives

Cited by in corpus (3)

• Sturm-Liouville operators with measure-valued coefficients
• A uniqueness theorem on inverse spectral problems for the Sturm--Liouville differential operators on time scales
• On the connection between the Hilger and Radon--Nikodym derivatives