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

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. Ex...

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Veröffentlicht in:	Journal of optimization theory and applications 2018-04, Vol.177 (1), p.1-20
Hauptverfasser:	Afrouzi, Ghasem A., Bohner, Martin, Caristi, Giuseppe, Heidarkhani, Shapour, Moradi, Shahin
Format:	Artikel
Sprache:	eng
Schlagworte:	Applications of Mathematics Banach spaces Calculus of Variations and Optimal Control Optimization Engineering Functionals Mathematics Mathematics and Statistics Operations Research/Decision Theory Optimization Theory of Computation Variational methods
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Beschreibung
Zusammenfassung:	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.
ISSN:	0022-3239 1573-2878
DOI:	10.1007/s10957-018-1253-1