Agata Grudzka, Sebastian Ruszkowski
Abstract:
A topological structure of the solution set to differential inclusions with
impulses at variable times is investigated. In order to do that an appropriate
Banach space is defined. It is shown that the solution set is an
-set. Results are new also in the case of differential equations
with impulses at variable times.
Submitted October 22, 2014 Published April 28, 2015.
Math Subject Classifications: 34A37, 34A60, 34K45.
Key Words: Solution set; impulsive differential inclusions;
variable times; R-delta-set; topological structure.
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Agata Grudzka Faculty of Mathematics and Computer Science Nicolaus Copernicus University Chopina 12/18, 87-100 Torun, Poland email: agata33@mat.uni.torun.pl | |
Sebastian Ruszkowski Faculty of Mathematics and Computer Science Nicolaus Copernicus University Chopina 12/18, 87-100 Torun, Poland sebrus@mat.uni.torun.pl |
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