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A critical point approach for a second-order dynamic Sturm–Liouville boundary value problem with p-Laplacian

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  • Heidarkhani, Shapour
  • Bohner, Martin
  • Caristi, Giuseppe
  • Ayazi, Farahnaz

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.

Suggested Citation

  • Heidarkhani, Shapour & Bohner, Martin & Caristi, Giuseppe & Ayazi, Farahnaz, 2021. "A critical point approach for a second-order dynamic Sturm–Liouville boundary value problem with p-Laplacian," Applied Mathematics and Computation, Elsevier, vol. 409(C).
    • Handle: RePEc:eee:apmaco:v:409:y:2021:i:c:s0096300320304793
    DOI: 10.1016/j.amc.2020.125521
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    References listed on IDEAS

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    1. Martin Bohner & Gregory Gelles, 2012. "Risk aversion and risk vulnerability in the continuous and discrete case," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 35(1), pages 1-28, May.
    2. Shapour Heidarkhani & Anderson L. A. De Araujo & Ghasem A. Afrouzi & Shahin Moradi, 2018. "Multiple solutions for Kirchhoff†type problems with variable exponent and nonhomogeneous Neumann conditions," Mathematische Nachrichten, Wiley Blackwell, vol. 291(2-3), pages 326-342, February.
    3. Ghasem A. Afrouzi & Martin Bohner & Giuseppe Caristi & Shapour Heidarkhani & Shahin Moradi, 2018. "An Existence Result for Impulsive Multi-point Boundary Value Systems Using a Local Minimization Principle," Journal of Optimization Theory and Applications, Springer, vol. 177(1), pages 1-20, April.
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