Structure of the solution set to differential inclusions with impulses at variable times
Electronic journal of differential equations, Tome 2015 (2015)
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.
Classification :
34A37, 34A60, 34K45
Keywords: solution set, impulsive differential inclusions, variable times, R-delta-set, topological structure
Keywords: solution set, impulsive differential inclusions, variable times, R-delta-set, topological structure
@article{EJDE_2015__2015__a48,
author = {Grudzka, Agata and Ruszkowski, Sebastian},
title = {Structure of the solution set to differential inclusions with impulses at variable times},
journal = {Electronic journal of differential equations},
year = {2015},
volume = {2015},
zbl = {1331.34027},
language = {en},
url = {http://geodesic.mathdoc.fr/item/EJDE_2015__2015__a48/}
}
TY - JOUR AU - Grudzka, Agata AU - Ruszkowski, Sebastian TI - Structure of the solution set to differential inclusions with impulses at variable times JO - Electronic journal of differential equations PY - 2015 VL - 2015 UR - http://geodesic.mathdoc.fr/item/EJDE_2015__2015__a48/ LA - en ID - EJDE_2015__2015__a48 ER -
%0 Journal Article %A Grudzka, Agata %A Ruszkowski, Sebastian %T Structure of the solution set to differential inclusions with impulses at variable times %J Electronic journal of differential equations %D 2015 %V 2015 %U http://geodesic.mathdoc.fr/item/EJDE_2015__2015__a48/ %G en %F EJDE_2015__2015__a48
Grudzka, Agata; Ruszkowski, Sebastian. Structure of the solution set to differential inclusions with impulses at variable times. Electronic journal of differential equations, Tome 2015 (2015). http://geodesic.mathdoc.fr/item/EJDE_2015__2015__a48/