Seminár z kvalitatívnej teórie diferenciálnych rovníc

Seminar on Qualitative Theory of Differential Equations

Thursday 15.12.2016 at 14:00 Lecture room M-223

Giselle A. Monteiro (MÚ SAV):

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.