Prolongation of solutions of measure differential equations and dynamic equations on time scales

Autor(es)

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

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

• Tipo de documento: Artigo Científico
• Fonte: Mathematische Nachrichten; v. 292, n. 1, p. 22-55, JAN 2019.
• Citações Web of Science: 2

Resumo

In this paper, we prove the results on existence and uniqueness of the maximal solutions for measure differential equations, considering more general conditions on functions f and g by using the correspondence between the solutions of these equations and the solutions of generalized ODEs. Moreover, we prove these 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. (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