Measure Neutral Functional Differential Equations as Generalized ODEs

Autor(es)

Federson, M. ^[1] ; Frasson, M. ^[1] ; Mesquita, J. G. ^[2] ; Tacuri, P. H. ^[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 Brasilia, Inst Ciencias Exatas, Brasilia, DF - Brazil

^[3] Univ Estadual Paulista, Fac Ciencias & Tecnol, Presidente Prudente, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: Journal of Dynamics and Differential Equations; v. 31, n. 1, p. 207-236, MAR 2019.
• Citações Web of Science: 0

Resumo

In this paper, we introduce a class of measure neutral functional differential equations of type through the relation with a certain class of eneralized ordinary differential equations introduced in Federson and Schwabik (Differ Integral Equ 19(11):1201-1234, 2006) (we write generalized ODEs), using similar ideas to those of Federson et al. (J Differ Equ 252(6):3816-3847, 2012). By means of the correspondence with generalized ODEs, we state results on the existence, uniqueness and continuous dependences of solutions for our equation of neutral type. (AU)

• Processo FAPESP: 17/13795-2 - Integração Não Absoluta e Aplicações
• Beneficiário: Márcia Cristina Anderson Braz Federson
• Modalidade de apoio: Auxílio à Pesquisa - Regular