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

  • Ghasem A. Afrouzi
  • Martin Bohner
  • Giuseppe Caristi
  • Shapour Heidarkhani
  • Shahin Moradi
Article

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.

Keywords

Existence result Multi-point boundary value problems Minimization principle Classical solution Impulsive effects Critical point theory Variational methods 

Mathematics Subject Classification

34B10 34B15 34A37 

Notes

Acknowledgements

The authors wish to thank all involved Editors and Referees.

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Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  1. 1.University of MazandaranBabolsarIran
  2. 2.Missouri S&TRollaUSA
  3. 3.University of MessinaMessinaItaly
  4. 4.Razi UniversityKermanshahIran
  5. 5.Young Researchers and Elite ClubIslamic Azad UniversityKermanshahIran

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