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Quaestiones Mathematicae

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One-sided dichotomies versus two-sided dichotomies: arbitrary growth rates

Luis Barreira, Davor Dragičević, Claudia Valls

Abstract


We obtain necessary and sufficient conditions for the existence of two- sided nonuniform exponential dichotomies with arbitrary growth rates in terms of the existence of one-sided nonuniform exponential dichotomies on the past and on the future. We consider both linear nonautonomous dynamics with discrete and continuous time, on an arbitrary Banach space.

Keywords: Growth rates, nonuniform exponential dichotomies




http://dx.doi.org/10.2989/16073606.2017.1289483
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