Upper and Lower Semicontinuity of Impulsive Cocycle Attractors for Impulsive Nonautonomous Systems
| Autor: | M.C. Bortolan, Rodolfo Collegari, Everaldo de Mello Bonotto, Tomás Caraballo |
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| Přispěvatelé: | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico, Universidad de Sevilla FQM314: Análisis Estocástico de Sistemas Diferenciales |
| Rok vydání: | 2019 |
| Předmět: |
Work (thermodynamics)
Mathematics::Dynamical Systems Partial differential equation Dynamical systems theory EQUAÇÕES DIFERENCIAIS PARCIAIS Mathematics::Operator Algebras 010102 general mathematics Collective tube conditions Ode Weak upper semicontinuity Dynamical system 01 natural sciences Weak lower semicontinuity 010101 applied mathematics Ordinary differential equation Attractor Applied mathematics Nonautonomous impulsive dynamical system Impulsive cocycle attractor 0101 mathematics Real line Analysis Continuity Mathematics |
| Zdroj: | idUS. Depósito de Investigación de la Universidad de Sevilla instname Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual) Universidade de São Paulo (USP) instacron:USP idUS: Depósito de Investigación de la Universidad de Sevilla Universidad de Sevilla (US) |
| ISSN: | 1572-9222 1040-7294 |
| DOI: | 10.1007/s10884-019-09815-5 |
| Popis: | In this work we present results to ensure a weak upper semicontinuity for a family of impulsive cocycle attractors of nonautonomous impulsive dynamical systems, as well as an example of nonautonomous dynamical system generated by an ODE in the real line to illustrate our results. Moreover, we present theoretical results regarding lower semicontinuity of impulsive cocycle attractors. |
| Databáze: | OpenAIRE |
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