Seminar on Qualitative Theory of Differential Equations - Giselle A. Monteiro (15.12.2016)

Thursday 15.12.2016 at 14:00, Lecture room M-223

02. 12. 2016 12.35 hod.
By: Pavol Quittner

Giselle A. Monteiro:
Extremal solutions for impulsive systems via Kurzweil equations

Abstract:
In the late fifties, J. Kurzweil introduced a notion of integral equation which has proved to be useful in the study of continuous and discrete systems, including impulsive differential equations. In this talk we discuss the existence of greatest and least solutions for the so-called measure differential equations -- namely, a Stieltjes type integral equation in the sense of Kurzweil. Based on these results, we derive new theorems about extremal solutions for impulsive systems. Acknowledgement: Supported by the SASPRO Programme, co-financed by the European Union and the Slovak Academy of Sciences.