In this paper we give necessary and sufficient conditions for uniform exponential instability of evolution families in Banach spaces, in terms of Banach function spaces. Versions of some well-known theorems due to Datko, Neerven, Rolewicz and Zabczyk, are obtained for the case of uniform exponential instability of evolution families.
@article{107875,
author = {Mihail Megan and Adina Lumini\c ta Sasu and Bogdan Sasu},
title = {Banach function spaces and exponential instability of evolution families},
journal = {Archivum Mathematicum},
volume = {039},
year = {2003},
pages = {277-286},
zbl = {1116.34328},
mrnumber = {2028738},
language = {en},
url = {http://dml.mathdoc.fr/item/107875}
}
Megan, Mihail; Sasu, Adina Luminiţa; Sasu, Bogdan. Banach function spaces and exponential instability of evolution families. Archivum Mathematicum, Tome 039 (2003) pp. 277-286. http://gdmltest.u-ga.fr/item/107875/
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