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An Existence Result for Impulsive Multi-point Boundary Value Systems Using a Local Minimization Principle

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Abstract

In this article, multi-point boundary value systems with impulsive effects are considered. Existence of at least one classical solution is investigated. The basis of the approach is an application of certain variational methods for smooth functionals, which are defined on reflexive Banach spaces. Examples are provided in order to illustrate how the presented results can be applied.

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Acknowledgements

The authors wish to thank all involved Editors and Referees.

Author information

Authors and Affiliations

  1. University of Mazandaran, Babolsar, Iran

    Ghasem A. Afrouzi

  2. Missouri S&T, Rolla, MO, USA

    Martin Bohner

  3. University of Messina, Messina, Italy

    Giuseppe Caristi

  4. Razi University, Kermanshah, Iran

    Shapour Heidarkhani

  5. Young Researchers and Elite Club, Islamic Azad University, Kermanshah, Iran

    Shahin Moradi

Authors
  1. Ghasem A. Afrouzi
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  2. Martin Bohner
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  3. Giuseppe Caristi
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  4. Shapour Heidarkhani
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  5. Shahin Moradi
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Corresponding author

Correspondence to Martin Bohner.

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Communicated by Irena Lasiecka.

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Afrouzi, G.A., Bohner, M., Caristi, G. et al. An Existence Result for Impulsive Multi-point Boundary Value Systems Using a Local Minimization Principle. J Optim Theory Appl 177, 1–20 (2018). https://doi.org/10.1007/s10957-018-1253-1

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  • DOI: https://doi.org/10.1007/s10957-018-1253-1

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