Persistence of exponential trichotomy for linear operators: a Lyapunov-Perron approach

DOI10.1007/S10884-015-9493-3zbMath1359.39001OpenAlexW2160099432MaRDI QIDQ258101

Pierre Magal, Ousmane Seydi, Arnaut Ducrot

Publication date: 17 March 2016

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

Full work available at URL: https://doi.org/10.1007/s10884-015-9493-3

zbMATH Keywords

exponential dichotomyexponential trichotomyBanach spacelinear difference equationdiscrete time dynamical systemHowland semigroup

Mathematics Subject Classification ID

Discrete-time control/observation systems (93C55) Fixed-point theorems (47H10) Perturbation theory of linear operators (47A55) Linear difference equations (39A06)

Related Items (9)

On tempered exponential trisplitting for random semi-dynamical systems ⋮ Almost Periodic Solution for Non Autonomous Non Densely Defined Cauchy Problems ⋮ Lyapunov type equation for discrete exponential trichotomies ⋮ Robustness of exponential behavior in Banach spaces ⋮ Existence and roughness of nonuniform \((h,k,\mu,\nu)\)-trichotomy for nonautonomous differential equations ⋮ General exponential dichotomies: from finite to infinite time ⋮ Spatial externality and indeterminacy ⋮ Variation of constants formula and exponential dichotomy for nonautonomous non-densely defined Cauchy problems ⋮ Exponential dichotomy for noninvertible linear difference equations

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