Existence results for dynamic Sturm–Liouville boundary value problems via variational methods

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摘要

Several conditions ensuring existence of solutions of a dynamic Sturm–Liouville boundary value problem are derived. Variational methods are utilized in the proofs. An example illustrating the main results is given.

论文关键词:Time scales,Sturm–Liouville boundary value problem,One solution,Variational methods

论文评审过程:Received 23 December 2019, Revised 4 August 2020, Accepted 9 August 2020, Available online 11 December 2020, Version of Record 11 July 2021.

论文官网地址:https://doi.org/10.1016/j.amc.2020.125614