Inhaltspezifische Aktionen

Some contributions of Kurzweil integration to functional differential equations

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

Termin zum Kalender hinzufügen



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.