A Sternberg Theorem for Nonautonomous Differential Equations

We show that a hyperbolic nonautonomous differential equation can be smoothly linearized if the associated Sacker–Sell spectrum satisfies a non-resonance condition. This result extends the classical Sternberg theorem to nonautonomous differential equations.

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Bibliographic Details
Published in:Journal of dynamics and differential equations 2019-09, Vol.31 (3), p.1279-1299
Main Authors: Cuong, L. V., Doan, T. S., Siegmund, S.
Format: Article
Language:English
Subjects:
Applications of Mathematics
Differential equations
Mathematical analysis
Mathematics
Mathematics and Statistics
Ordinary Differential Equations
Partial Differential Equations
Theorems
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Description
Summary:We show that a hyperbolic nonautonomous differential equation can be smoothly linearized if the associated Sacker–Sell spectrum satisfies a non-resonance condition. This result extends the classical Sternberg theorem to nonautonomous differential equations.
ISSN:1040-7294
1572-9222
DOI:10.1007/s10884-017-9629-8