Recursive properties of generalized ordinary differential equations and applications

Autor(es)

Bonotto, E. M. ^[1] ; Federson, M. ^[2] ; Gadotti, M. C. ^[2]

Afiliação do(s) autor(es)

^[1] Univ Sao Paulo, Inst Ciencias Matemat & Comp, Campus Sao Carlos, Caixa Postal 668, BR-13560970 Sao Carlos, SP - Brazil

^[2] Univ Estadual Paulista, Inst Geociencias & Ciencias Exatas, Campus Rio Claro, BR-13506900 Rio Claro, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: Journal of Differential Equations; v. 303, p. 123-155, DEC 5 2021.
• Citações Web of Science: 0

Resumo

The aim of this paper is to obtain results on topological properties of flows for nonnegative time in the framework of generalized ODEs. We define the concept of generalized semiflow and we present some recursive properties as minimality and recurrence. Using correspondence theorems, we translate our results to measure differential equations which are known to be special cases of generalized ODEs. Some examples are presented to illustrate the theory. (c) 2021 Elsevier Inc. All rights reserved. (AU)

• Processo FAPESP: 17/13795-2 - Integração Não Absoluta e Aplicações
• Beneficiário: Márcia Cristina Anderson Braz Federson
• Modalidade de apoio: Auxílio à Pesquisa - Regular
• Processo FAPESP: 19/03188-7 - Propriedades recursivas e oscilação de sistemas dinâmicos impulsivos
• Beneficiário: Everaldo de Mello Bonotto
• Modalidade de apoio: Auxílio à Pesquisa - Regular