A Critical Point Approach for a Second-Order Dynamic Sturm-Liouville Boundary Value Problem with P-Laplacian

Author

Shapour Heidarkhani
Martin Bohner, Missouri University of Science and TechnologyFollow
Giuseppe Caristi
Farahnaz Ayazi

Abstract

In this paper, we give conditions guaranteeing the existence of at least three solutions for a second-order dynamic Sturm-Liouville boundary value problem involving two parameters. In the proofs of the results, we utilize critical point theory and variational methods. In addition, an example is given in order to illustrate our results.

Recommended Citation

S. Heidarkhani et al., "A Critical Point Approach for a Second-Order Dynamic Sturm-Liouville Boundary Value Problem with P-Laplacian," Applied Mathematics and Computation, Elsevier, Jan 2020.

The definitive version is available at https://doi.org/10.1016/j.amc.2020.125521

Department(s)

Mathematics and Statistics

Keywords and Phrases

Critical point theory; Sturm-Liouville boundary value problem; Three solutions; 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