Existence Results for Dynamic Sturm-Liouville Boundary Value Problems Via Variational Methods

Author

David Barilla
Martin Bohner, Missouri University of Science and TechnologyFollow
Shapour Heidarkhani
Shahin Moradi

Abstract

Several conditions ensuring existence of solutions of a dynamic Sturm-Liouville boundary value problem are derived. Variational methods are utilized in the proofs. An example illustrating the main results is given.

Recommended Citation

D. Barilla et al., "Existence Results for Dynamic Sturm-Liouville Boundary Value Problems Via Variational Methods," Applied Mathematics and Computation, Elsevier, Jan 2020.

The definitive version is available at https://doi.org/10.1016/j.amc.2020.125614

Department(s)

Mathematics and Statistics

Keywords and Phrases

One solution; Sturm-Liouville boundary value problem; Time scales; Variational methods

International Standard Serial Number (ISSN)

0096-3003

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2021 Elsevier, All rights reserved.

Publication Date

01 Jan 2020