Geodesic
Banach function spaces and exponential instability of evolution families
Archivum mathematicum, Tome 39 (2003) no. 4, pp. 277-286

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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.
Classification : 34D05, 34D20, 34G10, 34G20, 47D06
Keywords: evolution family; uniform exponential instability; Banach function spaces 
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     author = {Megan, Mihail and Sasu, Luminita and Sasu, Bogdan},
     title = {Banach function spaces and exponential instability of evolution families},
     journal = {Archivum mathematicum},
     pages = {277--286},
     publisher = {mathdoc},
     volume = {39},
     number = {4},
     year = {2003},
     mrnumber = {2028738},
     zbl = {1116.34328},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ARM_2003__39_4_a2/}
}
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Megan, Mihail; Sasu, Luminita; Sasu, Bogdan. Banach function spaces and exponential instability of evolution families. Archivum mathematicum, Tome 39 (2003) no. 4, pp. 277-286. http://geodesic.mathdoc.fr/item/ARM_2003__39_4_a2/