A note on the nonuniform exponential stability and dichotomy for nonautonomous difference equations

DOI10.1016/J.LAA.2018.04.018zbMath1388.37036OpenAlexW2802340928WikidataQ115569822 ScholiaQ115569822MaRDI QIDQ1754429

Davor Dragičević

Publication date: 30 May 2018

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2018.04.018

zbMATH Keywords

nonautonomous difference equationnonuniform exponential stability

Mathematics Subject Classification ID

Additive difference equations (39A10) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Linear difference equations (39A06)

Related Items (1)

On the exponential stability and hyperbolicity of linear cocycles

Cites Work

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• Subadditive ergodic theory
• Exponential stability of time-varying linear discrete systems
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• Nonuniform dichotomy spectrum and reducibility for nonautonomous difference equations
• Stability of nonautonomous differential equations
• Lyapunov functions for strong exponential contractions
• Nonuniform Hyperbolicity and Admissibility
• CHARACTERISTIC LYAPUNOV EXPONENTS AND SMOOTH ERGODIC THEORY
• FAMILIES OF INVARIANT MANIFOLDS CORRESPONDING TO NONZERO CHARACTERISTIC EXPONENTS
• Hölder continuity of Oseledets splittings for semi-invertible operator cocycles

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