Shadowing for Nonautonomous Dynamics

We prove that whenever a sequence of bounded operators (Am)m∈ℤ{(A_{m})_{m\in\mathbb{Z}}} acting on a Banach space X admits an exponential dichotomy and a sequence of differentiable maps fm:X→X{f_{m}\colon X\to X}, m∈ℤ{m\in\mathbb{Z}}, has bounded and Hölder derivatives, the nonautonomous dynamics gi...

Full description

Bibliographic Details
Main Authors: Backes Lucas, Dragičević Davor
Format: Article
Language:English
Published: De Gruyter 2019-05-01
Series:Advanced Nonlinear Studies
Subjects:
Online Access:https://doi.org/10.1515/ans-2018-2033