A Sternberg theorem for nonautonomous differential equations

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Contributors

Abstract

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.

Details

Original languageEnglish
Pages (from-to)1279-1299
Number of pages21
JournalJournal of dynamics and differential equations
Volume31
Issue number3
Publication statusPublished - 1 Sept 2019
Peer-reviewedYes

External IDs

ORCID /0000-0003-0967-6747/work/149795387

Keywords

ASJC Scopus subject areas