Exponential dichotomies for linear discrete-time systems in Banach spaces

DOI10.2298/AADM120319008PzbMath1289.39030arXiv1108.5058OpenAlexW2020464163MaRDI QIDQ2867541

Traian Ceauşu, Ioan-Lucian Popa, Mihail Megan

Publication date: 19 December 2013

Published in: Applicable Analysis and Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1108.5058

zbMATH Keywords

exponential dichotomynonuniform exponential dichotomystrong exponential dichotomyuniform exponential dichotomy

Mathematics Subject Classification ID

Asymptotic properties of solutions to ordinary differential equations (34D05) Dichotomy, trichotomy of solutions to ordinary differential equations (34D09) Stability theory for difference equations (39A30)

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Nonuniform exponential dichotomy for discrete dynamical systems in Banach spaces ⋮ Exponential splitting for nonautonomous linear discrete-time systems in Banach spaces ⋮ Nonuniform polynomial dichotomy for noninvertible linear discrete-time systems in Banach spaces ⋮ On tempered exponential trisplitting for random semi-dynamical systems ⋮ Nonuniform exponential trichotomy for linear discrete-time systems in Banach spaces ⋮ The equivalence of Datko and Lyapunov properties for \((h, k)\)-trichotomic linear discrete-time systems ⋮ Discrete \((h,k)\)-dichotomy and remarks on the boundedness of the projections ⋮ On \((h,k)\)-dichotomies for nonautonomous linear difference equations in Banach spaces ⋮ Uniform polynomial dichotomy for linear discrete-time systems ⋮ On \((h,k, \mu, \nu)\)-trichotomy of discrete linear systems ⋮ Unnamed Item ⋮ Polynomial expansiveness and admissibility of weighted Lebesgue spaces

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