On Polynomial Dichotomies of Discrete Nonautonomous Systems on the Half-Line (CROSBI ID 308987)
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Podaci o odgovornosti
Dragičević, Davor ; Sasu, Luminita Adina ; Sasu, Bogdan
engleski
On Polynomial Dichotomies of Discrete Nonautonomous Systems on the Half-Line
The aim of this paper is to provide new characterizations for polynomial dichotomies of discrete nonautonomous systems on the half-line. First, we establish equivalent structures for the ranges of projections for a polynomial dichotomy with respect to a sequence of norms. Next, we establish the connections between polynomial dichotomies and other dichotomic behaviors. We obtain for the first time a characterization of polynomial dichotomy with respect to a sequence of norms in terms of ordinary dichotomy and exponential dichotomy of suitable systems with respect to well-chosen sequences of norms. The results are obtained in the most general case, without any additional assumptions regarding the coefficients of the underlying systems.
ordinary dichotomy ; exponential dichotomy ; polynomial dichotomy ; discrete nonautonomous system ; dichotomy projections ; sequence of norms
Part of the special issue dedicated to the Professor Mihail Megan on the occassion of his 75th birthday
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Podaci o izdanju
38 (3)
2022.
663-680
objavljeno
1584-2851
1843-4401
10.37193/CJM.2022.03.12