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

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摘要

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.

论文关键词:Three solutions,Time scales,Sturm–Liouville boundary value problem,Critical point theory,Variational methods

论文评审过程:Received 16 January 2020, Revised 17 June 2020, Accepted 5 July 2020, Available online 2 October 2020, Version of Record 11 July 2021.

论文官网地址:https://doi.org/10.1016/j.amc.2020.125521