Fakulta matematiky, fyziky
a informatiky
Univerzita Komenského v Bratislave

Seminár z kvalitatívnej teórie diferenciálnych rovníc - Giselle A. Monteiro (15.12.2016)

vo štvrtok 15.12.2016 o 14:00 hod. v miestnosti M/223


02. 12. 2016 12.30 hod.
Od: Pavol Quittner

Prednášajúci: Giselle A. Monteiro (MÚ SAV)

Názov: Extremal solutions for impulsive systems via Kurzweil equations

Termín: 15.12.2016, 14:00 hod., M/223


Abstrakt:
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.