Seminar 15.12.2016: Giselle A. Monteiro

Seminar on Qualitative Theory of Differential Equations
organized by P.Quittner, M.Fila and R.Kollar

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Seminar 15.12.2016: Giselle A. Monteiro

Postby quittner » Thu Dec 01, 2016 2:05 pm

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.
quittner
 
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