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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 () and Shahin Moradi ()
Additional contact information
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

Journal of Optimization Theory and Applications, 2018, vol. 177, issue 1, No 1, 20 pages

Abstract: 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; 34B10; 34B15; 34A37 (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s10957-018-1253-1

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