Dichotomies for generalized ordinary differential equations and applications

Autor(es)

Bonotto, E. M. ^[1] ; Federson, M. ^[1] ; Santos, F. L. ^[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 Fed Rural Pernambuco, Dept Matemat, Rua Dom Manoel de Medeiros S-N, BR-52171900 Recife, PE - Brazil

• Tipo de documento: Artigo Científico
• Fonte: Journal of Differential Equations; v. 264, n. 5, p. 3131-3173, MAR 1 2018.
• Citações Web of Science: 0

Resumo

In this work we establish the theory of dichotomies for generalized ordinary differential equations, introducing the concepts of dichotomies for these equations, investigating their properties and proposing new results. We establish conditions for the existence of exponential dichotomies and bounded solutions. Using the correspondences between generalized ordinary differential equations and other equations, we translate our results to measure differential equations and impulsive differential equations. The fact that we work in the framework of generalized ordinary differential equations allows us to manage functions with many discontinuities and of unbounded variation. (C) 2017 Elsevier Inc. All rights reserved. (AU)

• Processo FAPESP: 16/24711-1 - Atratores pullback para cociclos
• Beneficiário: Everaldo de Mello Bonotto
• Modalidade de apoio: Auxílio à Pesquisa - Regular
• Processo FAPESP: 11/24027-0 - Dicotomias em equações diferenciais generalizadas e aplicações
• Beneficiário: Fábio Lima Santos
• Modalidade de apoio: Bolsas no Brasil - Doutorado