Robustness of nonuniform exponential trichotomies in Banach spaces

DOI10.1016/J.JMAA.2008.10.030zbMath1202.34105OpenAlexW1993752465MaRDI QIDQ2518305

Luis Barreira, Claudia Valls

Publication date: 15 January 2009

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2008.10.030

zbMATH Keywords

robustnessnonuniform exponential trichotomies

Mathematics Subject Classification ID

Perturbations of ordinary differential equations (34D10) Linear differential equations in abstract spaces (34G10) Dichotomy, trichotomy of solutions to ordinary differential equations (34D09)

Related Items (12)

Connections between some concepts of polynomial trichotomy for noninvertible evolution operators in Banach spaces ⋮ A Zabczyk type method for the study of the exponential trichotomy of discrete dynamical systems ⋮ Discrete admissibility and exponential trichotomy of dynamical systems ⋮ Nonuniform exponential trichotomy for linear discrete-time systems in Banach spaces ⋮ Approximative dichotomy and persistence of nonuniformly normally hyperbolic invariant manifolds in Banach spaces ⋮ Lyapunov function and exponential trichotomy on time scales ⋮ Existence and roughness of nonuniform \((h,k,\mu,\nu)\)-trichotomy for nonautonomous differential equations ⋮ Input-output admissibility and exponential trichotomy of difference equations ⋮ Center manifolds under nonuniform hyperbolicity -- maximal regularity ⋮ Robustness of dichotomies and trichotomies for difference equations ⋮ Nonlinear criteria for the existence of the exponential trichotomy in infinite dimensional spaces ⋮ Persistence of exponential trichotomy for linear operators: a Lyapunov-Perron approach

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