ON SET-VALUED DISCRETE DYNAMICAL SYSTEMS

Hernández García, Elvira; Perán Mazón, Juan Jacobo

Publicación:
ON SET-VALUED DISCRETE DYNAMICAL SYSTEMS

dc.contributor.author	Hernández García, Elvira
dc.contributor.author	Perán Mazón, Juan Jacobo
dc.date.accessioned	2025-06-25T16:21:59Z
dc.date.available	2025-06-25T16:21:59Z
dc.date.issued	2023-10-01
dc.description	The registered version of this article, first published in “Journal of Nonlinear and Variational Analysis, vol. 7, num. 5, (2023)", is available online at the publisher's website: Universidad nacional de Educación a Distancia, https://doi.org/10.23952/JNVA.7.2023.5.05
dc.description.abstract	In this paper, we attempt to study set-valued discrete dynamical systems with the objective of developing a general framework and unifying some results and definitions in the literature. For these purposes, we follow similar ideas to those existing for classical dynamical systems. We focus on discrete dynamical systems in terms of set-valued maps. The solutions associated to our systems are given by sequences of sets. We obtain preliminary results by formulating appropriate notions of set dynamical systems as attractor, stability and invariant sets. For this purpose, we study the ω-limit sets which play an important role for gaining an overall understanding of how the system is behaving, particularly in the long term. We study its properties by using well-known notions from set-valued analysis. We are able to generalize dynamical results in terms of single valued maps by the weaker assumptions on continuity.	en
dc.description.version	versión publicada
dc.identifier.citation	E. Hernández, J. Perán, On set-valued discrete dynamical systems, J. Nonlinear Var. Anal. 7 (2023), 727-742, https://doi.org/10.23952/JNVA.7.2023.5.05
dc.identifier.doi	https://doi.org/10.23952/JNVA.7.2023.5.05
dc.identifier.issn	2560-6921, ISSNe 2560-6778
dc.identifier.uri	https://hdl.handle.net/20.500.14468/26921
dc.journal.issue	5
dc.journal.title	Journal of Nonlinear and Variational Analysis
dc.journal.volume	7
dc.language.iso	en
dc.page.final	742
dc.page.initial	727
dc.publisher	Journal of Nonlinear and Variational Analysis (JNVA)
dc.relation.center	Facultades y escuelas::E.T.S. de Ingenieros Industriales
dc.relation.department	MATEMÁTICA APLICADA I
dc.rights	info:eu-repo/semantics/openAccess
dc.rights.uri	Atribución-NoComercial-SinDerivadas 4.0 Internacional
dc.subject	12 Matemáticas
dc.subject	12 Matemáticas::1299 Otras especialidades matemáticas
dc.subject.keywords	Discrete-time	en
dc.subject.keywords	limit sets	en
dc.subject.keywords	Lyapunov Stability	en
dc.subject.keywords	Set-valued dynamical systems	en
dc.subject.keywords	Set-valued maps.	en
dc.title	ON SET-VALUED DISCRETE DYNAMICAL SYSTEMS	en
dc.type	artículo	es
dc.type	journal article	en
dspace.entity.type	Publication
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