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Existence results for a dynamic Sturm–Liouville boundary value problem on time scales

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Abstract

In this paper, we look for local minima for the Euler functional corresponding to a dynamic Sturm–Liouville boundary value problem on time scales which turns out as an optimization problem. In fact, applying variational methods we obtain the existence of infinitely many solutions for our dynamic problem. An example is also given to illustrate the main results.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Sciences, Razi University, Kermanshah, 67149, Iran

    Shapour Heidarkhani & Shahin Moradi

  2. Department of Economics, University of Messina, 98122, Messina, Italy

    Giuseppe Caristi

Authors
  1. Shapour Heidarkhani
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  2. Shahin Moradi
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  3. Giuseppe Caristi
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Correspondence to Giuseppe Caristi.

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Heidarkhani, S., Moradi, S. & Caristi, G. Existence results for a dynamic Sturm–Liouville boundary value problem on time scales. Optim Lett 15, 2497–2514 (2021). https://doi.org/10.1007/s11590-020-01646-4

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  • DOI: https://doi.org/10.1007/s11590-020-01646-4

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