Geodesic
New characterizations of asymptotic stability for evolution families on Banach spaces
Electronic journal of differential equations, Tome 2004 (2004)
We generalize the Datko-Rolewicz theorem on exponential stability in the non-autonomous case. Also, we extend the results obtained by Jan van Neerven [18]
Classification : 47A30, 93B35, 35B40, 46A30
Keywords: evolution family of bounded linear operators, uniform exponential stability, datko-rolewicz theorem 
@article{EJDE_2004__2004__a109,
     author = {Barza,  Sorina and Buse,  Constantin and Pe\v{c}ari\'c,  Josip},
     title = {New characterizations of asymptotic stability for evolution families on {Banach} spaces},
     journal = {Electronic journal of differential equations},
     year = {2004},
     volume = {2004},
     zbl = {1071.47044},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2004__2004__a109/}
}
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%A Pečarić,  Josip
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%J Electronic journal of differential equations
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%F EJDE_2004__2004__a109
Barza,  Sorina; Buse,  Constantin; Pečarić,  Josip. New characterizations of asymptotic stability for evolution families on Banach spaces. Electronic journal of differential equations, Tome 2004 (2004). http://geodesic.mathdoc.fr/item/EJDE_2004__2004__a109/