Fecha
2023-10-01
Editor/a
Director/a
Tutor/a
Coordinador/a
Prologuista
Revisor/a
Ilustrador/a
Derechos de acceso
info:eu-repo/semantics/openAccess
Título de la revista
ISSN de la revista
Título del volumen
Editor
Journal of Nonlinear and Variational Analysis (JNVA)
Citas
0 citas en 
0 citas en 
Resumen
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.
Descripción
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
Categorías UNESCO
Palabras clave
Discrete-time, limit sets, Lyapunov Stability, Set-valued dynamical systems, Set-valued maps.
Citación
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
Centro
Facultades y escuelas::E.T.S. de Ingenieros Industriales
Departamento
MATEMÁTICA APLICADA I