Measure Neutral Functional Differential Equations as Generalized ODEs

Artículos de revistas

Fecha

2019-03-01

Registro en:

Journal Of Dynamics And Differential Equations. New York: Springer, v. 31, n. 1, p. 207-236, 2019.

1040-7294

http://hdl.handle.net/11449/184435

10.1007/s10884-018-9682-y

WOS:000463592000009

https://repositorioslatinoamericanos.uchile.cl/handle/2250/5365489

Autor

Universidade de São Paulo (USP)

Universidade de Brasília (UnB)

Universidade Estadual Paulista (Unesp)

Institución

Universidade Estadual Paulista (Brasil)

Resumen

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.

Materias

Generalized ordinary differential equations

Neutral measure functional differential equations

Kurzweil-Henstock-Stieltjes integral

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