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

Author

Listed:
  • Ghasem A. Afrouzi

    (University of Mazandaran)

  • Martin Bohner

    (Missouri S&T)

  • Giuseppe Caristi

    (University of Messina)

  • Shapour Heidarkhani

    (Razi University)

  • Shahin Moradi

    (Islamic Azad University)

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.

Suggested Citation

  • 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.
    • Handle: RePEc:spr:joptap:v:177:y:2018:i:1:d:10.1007_s10957-018-1253-1
    DOI: 10.1007/s10957-018-1253-1
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    References listed on IDEAS

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    1. Brigitte E. Breckner & Csaba Varga, 2015. "Multiple Solutions of Dirichlet Problems on the Sierpinski Gasket," Journal of Optimization Theory and Applications, Springer, vol. 167(3), pages 842-861, December.
    2. Hannelore Lisei & Csaba Varga, 2015. "A Multiplicity Result for a Class of Elliptic Problems on a Compact Riemannian Manifold," Journal of Optimization Theory and Applications, Springer, vol. 167(3), pages 912-927, December.
    3. Nikolaos S. Papageorgiou & Vicenţiu D. Rădulescu & Dušan D. Repovš, 2017. "Nonhomogeneous Hemivariational Inequalities with Indefinite Potential and Robin Boundary Condition," Journal of Optimization Theory and Applications, Springer, vol. 175(2), pages 293-323, November.
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    Cited by:

    1. Heidarkhani, Shapour & Bohner, Martin & Caristi, Giuseppe & Ayazi, Farahnaz, 2021. "A critical point approach for a second-order dynamic Sturm–Liouville boundary value problem with p-Laplacian," Applied Mathematics and Computation, Elsevier, vol. 409(C).
    2. 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).

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