Exponential dichotomies with respect to a sequence of norms and admissibility (CROSBI ID 204010)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Barreira, Luis ; Dragičević, Davor ; Valls, Claudia.
engleski
Exponential dichotomies with respect to a sequence of norms and admissibility
For a nonautonomous dynamics defined by a sequence of linear operators, we introduce the notion of an exponential dichotomy with respect to a sequence of norms and we characterize it completely in terms of the admissibility in lp spaces, both for the space of perturbations and the space of solutions. This allows unifying the notions of uniform and nonuniform exponential behavior. Moreover, we consider the general case of a noninvertible dynamics. As a nontrivial application we show that the conditional stability of a nonuniform exponential dichotomy persists under sufficiently small linear perturbations.
exponential dichotomies ; l p spaces ; robustness
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Podaci o izdanju
25 (3)
2014.
1450024
20
objavljeno
0129-167X
1793-6519
10.1142/S0129167X14500244