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Article
An Existence Result for Impulsive Multi-Point Boundary Value Systems Using a Local Minimization Principle
Journal of Optimization Theory and Applications
  • Ghasem A. Afrouzi
  • Martin Bohner, Missouri University of Science and Technology
  • Giuseppe Caristi
  • Shapour Heidarkhani
  • Shahin Moradi
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.

Department(s)
Mathematics and Statistics
Keywords and Phrases
  • Classical solution,
  • Critical point theory,
  • Existence result,
  • Impulsive effects,
  • Minimization principle,
  • Multi-point boundary value problems,
  • Variational methods
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2018 Springer Verlag, All rights reserved.
Publication Date
4-1-2018
Publication Date
01 Apr 2018
Citation Information
Ghasem A. Afrouzi, Martin Bohner, Giuseppe Caristi, Shapour Heidarkhani, et al.. "An Existence Result for Impulsive Multi-Point Boundary Value Systems Using a Local Minimization Principle" Journal of Optimization Theory and Applications Vol. 177 Iss. 1 (2018) p. 1 - 20 ISSN: 0022-3239; 1573-2878
Available at: http://works.bepress.com/martin-bohner/137/