Open AccessUniform global attractors for non-autonomous dissipative dynamical systems
Author(s) -
Michael Z. Zgurovsky,
Mark Gluzman,
Nataliia V. Gorban,
Pavlo O. Kasyanov,
Лилия С. Палийчук,
Olha V. Khomenko
Publication year - 2017
Publication title -
discrete and continuous dynamical systems. series b
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.864
H-Index - 53
eISSN - 1553-524X
pISSN - 1531-3492
DOI - 10.3934/dcdsb.2017120
Subject(s) - attractor , compact space , dissipative system , phase space , dynamical systems theory , mathematics , space (punctuation) , mathematical analysis , pure mathematics , computer science , physics , quantum mechanics , thermodynamics , operating system
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