On \((h,k)\)-dichotomies for nonautonomous linear difference equations in Banach spaces

DOI10.1155/2013/761680zbMath1291.93181OpenAlexW2044086679WikidataQ58923633 ScholiaQ58923633MaRDI QIDQ2247847

Mihail Megan, Ioan-Lucian Popa, Mihai-Gabriel Babuţia

Publication date: 30 June 2014

Published in: International Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/761680

zbMATH Keywords

Banach spacesdichotomynon-invertible, non-autonomous linear discrete-time systems

Mathematics Subject Classification ID

Discrete-time control/observation systems (93C55) Linear systems in control theory (93C05) Control/observation systems in abstract spaces (93C25)

Related Items (9)

Integral conditions for nonuniform \(\mu\)-dichotomy on the half-line ⋮ Connections between some concepts of polynomial trichotomy for noninvertible evolution operators in Banach spaces ⋮ Nonuniform exponential dichotomy for discrete dynamical 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 \((h,k, \mu, \nu)\)-trichotomy of discrete linear systems ⋮ Admissibility and generalized nonuniform dichotomies for discrete dynamics ⋮ Solution estimates for the discrete Lyapunov equation in a Hilbert space and applications to difference equations ⋮ Unnamed Item

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