New characterizations of asymptotic stability for evolution families on Banach spaces
Electronic Journal of Differential Equations, Tome 2004 (2004).

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Summary: 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},
     publisher = {mathdoc},
     volume = {2004},
     year = {2004},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2004__2004__a109/}
}
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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/