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View article: On the Robustness of Polynomial Dichotomy of Discrete Nonautonomous Systems
On the Robustness of Polynomial Dichotomy of Discrete Nonautonomous Systems Open
Starting from a characterization of polynomial dichotomy by means of admissibility, recently proved in [Dragi\v cevi\'c, D.; Sasu, A. L.; Sasu, B. Admissibility and polynomial dichotomy of discrete nonautonomous systems. {\it Carpath. J. M…
View article: Zabczyk Type Criteria for Asymptotic Behavior of Dynamical Systems and Applications
Zabczyk Type Criteria for Asymptotic Behavior of Dynamical Systems and Applications Open
We obtain new characterizations for nonuniform and uniform asymptotic behaviors of variational systems in infinite dimensional spaces, following the line of studies recently developed in Dragičević et al. (J Differ Equ 268:4786–4829, 2020,…
View article: "Admissibility and Polynomial Dichotomy of Discrete Nonautonomous Systems"
"Admissibility and Polynomial Dichotomy of Discrete Nonautonomous Systems" Open
"We give new admissibility criteria for dichotomic behaviours of discrete nonautonomous sys- tems, in infinite dimensional spaces. First, we present admissibility conditions for uniform and exponential dichotomy. Next, our study is focused…
View article: "On Polynomial Dichotomies of Discrete Nonautonomous Systems on the Half-Line"
"On Polynomial Dichotomies of Discrete Nonautonomous Systems on the Half-Line" Open
"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 wi…
View article: Editorial
Editorial Open
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View article: Exponential trichotomy and $(r, p)$-admissibility for discrete dynamical systems
Exponential trichotomy and $(r, p)$-admissibility for discrete dynamical systems Open
The aim of this paper is to present a new and very general method for the study of the uniform exponential trichotomy of nonautonomous dynamical systems defined on the whole axis. We consider a discrete dynamical system and we introduce th…