Naslov
Global smooth linearization of nonautonomous contractions on Banach spaces

Autori
Dragičević, Davor

Izvornik
Electronic Journal of Qualitative Theory of Differential Equations (1417-3875) 2022 (2022); 1-19

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

Ključne riječi
nonautonomous contractions, linearization

Sažetak
The main purpose of this paper is to establish a global smooth linearization result for two classes of nonautonomous dynamics with discrete time. More precisely, we consider a nonlinear and nonautonomous dynamics given by a two-sided sequence of maps as well as variational systems whose linear part is contractive, and under suitable assumptions we construct $C^1$ conjugacies between the original dynamics and its linear part. We stress that our dynamics acts on a arbitrary Banach space. Our arguments rely on related results dealing with autonomous dynamics.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA