Some contributions of Kurzweil integration to functional differential equations
Jaqueline Mesquita (University of Brasilia)
- https://www.uni-giessen.de/de/fbz/fb07/fachgebiete/mathematik/mathematik/kalender/2019/2019-05-16
- Some contributions of Kurzweil integration to functional differential equations
- 2019-05-16T14:15:00+02:00
- 2019-05-16T15:15:00+02:00
- Jaqueline Mesquita (University of Brasilia)
16.05.2019 von 14:15 bis 15:15 (Europe/Berlin / UTC200)
Hörsaal (1. Stock, Raum 111) im Mathematischen Insitut, Arndtstraße 2
Abstract
In 1957, Jaroslav Kurzweil introduced in the literature a class of integral
equations called generalized ordinary dierential equations (GODEs, for short)
(see [4]). These equations have been shown to be a powerful tool to investigate
measure functional dierential equations, measure neutral functional dierential
equations, among other types of equations (see [1, 2, 3] and the references
therein), obtaining more general results for these equations.
In this talk, we provide a basic overview of the Kurzweil integration and
its contribution to the theory of functional dierential equations as well as we
present some open problems in the area.