Global smooth linearization of nonautonomous contractions on Banach spaces

Dragičević Davor: Global smooth linearization of nonautonomous contractions on Banach spaces. (2022)

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Abstract

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.

Item Type: Journal
Publication full: Electronic journal of qualitative theory of differential equations
Date: 2022
Number: 12
ISSN: 1417-3875
Number of Pages: 19
Language: English
Place of Publication: Szeged
DOI: 10.14232/ejqtde.2022.1.12
Uncontrolled Keywords: Banach-tér, Differenciálegyenlet
Additional Information: Bibliogr.: p. 17-19. ; összefoglalás angol nyelven
Subjects: 01. Natural sciences
01. Natural sciences > 01.01. Mathematics
Date Deposited: 2022. May. 23. 15:53
Last Modified: 2022. May. 23. 15:53
URI: http://acta.bibl.u-szeged.hu/id/eprint/75827

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