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Article
A Critical Point Approach for a Second-Order Dynamic Sturm-Liouville Boundary Value Problem with P-Laplacian
Applied Mathematics and Computation
  • Shapour Heidarkhani
  • Martin Bohner, Missouri University of Science and Technology
  • 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.

Department(s)
Mathematics and Statistics
Keywords and Phrases
  • Critical point theory,
  • Sturm-Liouville boundary value problem,
  • Three solutions,
  • Time scales,
  • Variational methods
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2021 Elsevier, All rights reserved.
Publication Date
1-1-2020
Publication Date
01 Jan 2020
Citation Information
Shapour Heidarkhani, Martin Bohner, Giuseppe Caristi and Farahnaz Ayazi. "A Critical Point Approach for a Second-Order Dynamic Sturm-Liouville Boundary Value Problem with P-Laplacian" Applied Mathematics and Computation (2020) ISSN: 0096-3003
Available at: http://works.bepress.com/martin-bohner/204/