Uniform Global Attractors for Non-Autonomous Dissipative Dynamical Systems
Dynamical Systems
2016-09-06 v1
Abstract
In this paper we consider sufficient conditions for the existence of uniform compact global attractor for non-autonomous dynamical systems in special classes of infinite-dimensional phase spaces. The obtained generalizations allow us to avoid the restrictive compactness assumptions on the space of shifts of non-autonomous terms in particular evolution problems. The results are applied to several evolution inclusions.
Cite
@article{arxiv.1609.01084,
title = {Uniform Global Attractors for Non-Autonomous Dissipative Dynamical Systems},
author = {Michael Zgurovsky and Mark Gluzman and Nataliia Gorban and Pavlo Kasyanov and Liliia Paliichuk and Olha Khomenko},
journal= {arXiv preprint arXiv:1609.01084},
year = {2016}
}