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2016-12-06 Nonlinear Seminar

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< 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.

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> 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.


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.