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

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  • Barilla, David
  • Bohner, Martin
  • Heidarkhani, Shapour
  • Moradi, Shahin

Abstract

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.

Suggested Citation

  • Barilla, David & Bohner, Martin & Heidarkhani, Shapour & Moradi, Shahin, 2021. "Existence results for dynamic Sturm–Liouville boundary value problems via variational methods," Applied Mathematics and Computation, Elsevier, vol. 409(C).
    • Handle: RePEc:eee:apmaco:v:409:y:2021:i:c:s0096300320305622
    DOI: 10.1016/j.amc.2020.125614
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    References listed on IDEAS

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    1. ,, 2004. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 20(2), pages 427-429, April.
    2. ,, 2004. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 20(1), pages 223-229, February.
    3. 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.
    4. 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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    Cited by:

    1. Xian-Biao Wei & Yan-Hsiou Cheng & Yu-Ping Wang, 2022. "The Partial Inverse Spectral and Nodal Problems for Sturm–Liouville Operators on a Star-Shaped Graph," Mathematics, MDPI, vol. 10(21), pages 1-21, October.

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