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

Shapour Heidarkhani, Martin Bohner, Giuseppe Caristi and Farahnaz Ayazi

Applied Mathematics and Computation, 2021, vol. 409, issue C

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.

Keywords: Three solutions; Time scales; Sturm–Liouville boundary value problem; Critical point theory; Variational methods (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:409:y:2021:i:c:s0096300320304793

DOI: 10.1016/j.amc.2020.125521

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