Lyapunov stability for measure differential equations and dynamic equations on time scales

Autor(es)

Federson, M. ^[1] ; Grau, R. ^[2] ; Mesquita, J. G. ^[3] ; Toon, E. ^[4]

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 Norte, Dept Matemat & Estadist, Barranquilla - Colombia

^[3] Univ Brasilia, Dept Matemat, Campus Univ Darcy Ribeiro, BR-70910900 Brasilia, DF - Brazil

^[4] Univ Fed Juiz de Fora, Inst Ciencias Exatas, Juiz De Fora, MG - Brazil

• Tipo de documento: Artigo Científico
• Fonte: Journal of Differential Equations; v. 267, n. 7, p. 4192-4223, SEP 15 2019.
• Citações Web of Science: 1

Resumo

In this paper, we prove the stability results for measure differential equations, considering more general conditions under the Lyapunov functionals and concerning the functions f and g. Moreover, we prove these stability results for the dynamic equations on time scales, using the correspondence between the solutions of these last equations and the solutions of the measure differential equations. (C) 2019 Elsevier Inc. All rights reserved. (AU)

• Processo FAPESP: 13/22050-0 - Equações diferenciais ordinárias generalizadas e aplicações
• Beneficiário: Márcia Cristina Anderson Braz Federson
• Modalidade de apoio: Auxílio à Pesquisa - Regular