Naslov
On Polynomial Dichotomies of Discrete Nonautonomous Systems on the Half-Line

Autori
Dragičević, Davor ; Sasu, Luminita Adina ; Sasu, Bogdan

Izvornik
Carpathian journal of mathematics (1584-2851) 38 (2022), 3; 663-680

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
ordinary dichotomy ; exponential dichotomy ; polynomial dichotomy ; discrete nonautonomous system ; dichotomy projections ; sequence of norms

Sažetak
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.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

Napomena
Part of the special issue dedicated to the Professor
Mihail Megan on the occassion of his 75th birthday

POVEZANOST RADA