Electron. J. Diff. Equ., Vol. 2015 (2015), No. 114, pp. 1-16.

Structure of the solution set to differential inclusions with impulses at variable times

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 $R_{\delta}$-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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