Banach function spaces and exponential instability of evolution families
Megan, Mihail ; Sasu, Adina Luminiţa ; Sasu, Bogdan
Archivum Mathematicum, Tome 039 (2003), p. 277-286 / Harvested from Czech Digital Mathematics Library

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.

Publié le : 2003-01-01
Classification:  34D05,  34D20,  34G10,  34G20,  47D06
@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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