Naslov
Smooth Linearization of Nonautonomous Differential Equations with a Nonuniform Dichotomy

Autori
Dragičević, Davor ; Zhang, Weinian ; Zhang, Wenmeng

Izvornik
Proceedings of the london mathematical society (0024-6115) 121 (2020), 1; 32-50

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
: Nonautonomous differential equation ; nonuniform strong exponential dichotomy ; smooth linearization ; spectral bound ; non-resonant condition.

Sažetak
In this paper we give a smooth linearization theorem for nonautonomous differential equations with a nonuniform strong exponential dichotomy. In terms of a discretized evolution operator with hyperbolic fixed point 0, we formulate its spectrum and then give a spectral bound condition for the linearization of such equations to be simultaneously differentiable at 0 and H¨older continuous near 0. Restricted to the autonomous case, our result is the first one that gives a rigorous proof for simultaneously differentiable and H¨older linearization of hyperbolic systems without any non-resonant conditions

Izvorni jezik
Engleski

Znanstvena područja
Matematika

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