dr Giselle Monteiro
(Slovak Academy of Sciences)
Extremal solutions for measure differential equations
We investigate the existence of greatest and least solutions for the so-called measure differential equations - namely, integral equations in which the Stieltjes type integral is in the sense of Kurzweil. Based on these results, we derive new theorems about extremal solutions for impulsive systems.
Acknowledgement: Research financed by the SASPRO Programme, co-financed by the European Union and the Slovak Academy of Sciences.