Global smooth linearization of nonautonomous contractions on Banach spaces
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...
Elmentve itt :
| Szerző: | |
|---|---|
| Dokumentumtípus: | Folyóirat |
| Megjelent: |
2022
|
| Sorozat: | Electronic journal of qualitative theory of differential equations
|
| Kulcsszavak: | Banach-tér, Differenciálegyenlet |
| Tárgyszavak: | |
| doi: | 10.14232/ejqtde.2022.1.12 |
| Online Access: | http://acta.bibl.u-szeged.hu/75827 |
| Tartalmi kivonat: | 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. |
|---|---|
| Terjedelem/Fizikai jellemzők: | 19 |
| ISSN: | 1417-3875 |