Work

An underlying theory of multifunctions in discrete-time set-valued dynamical systems

Year: 2026

Type: article

Abstract: We study the asymptotic behaviour of discrete time set-valued dynamical systems defined by difference inclusions. Notions as limit sets, invariant or attractors sets are defined in terms of set-valued analysis and relations with different concepts of stable set (in the Lyapunov sense) are established. In this brief paper, we present applications of set-valued analysis to the dynamical system theory and provide a foundational theory in terms of stability analysis.

Source: Journal of Optimization Theory and Applications

DOI: 10.1007/s10957-026-02931-5

Authors: Elvira Hernández, Juan Perán

Institution: Universidad Nacional de Educación a Distancia

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,190

Funders: Ministerio de Ciencia e Innovación, Agencia Estatal de Investigación