Converse Lyapunov theorems for measure functional differential equations

Autor(es)

da Silva, F. Andrade ; Federson, M. ; Grau, R. ; Toon, E.

• Tipo de documento: Artigo Científico
• Fonte: Journal of Differential Equations; v. 286, p. 46-pg., 2021-03-16.

Resumo

The aim of this paper is to obtain converse Lyapunov theorems for measure functional differential equations which are known to encompass dynamic equations on time scales, impulsive differential equations and functional differential equations (see [7,8]). Our main tool is to consider the framework of generalized ordinary differential equations, introduced by Jaroslav Kurzweil, and to manage all other equations in this setting which has the advantage to handle well both highly oscillating functions and functions with many discontinuities. (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