Uniform global attractors for non-autonomous dissipative dynamical systems | Zendy

Michael Z. Zgurovsky | Zendy; Mark Gluzman | Zendy; Nataliia V. Gorban | Zendy; Pavlo O. Kasyanov | Zendy; Лилия С. Палийчук | Zendy; Olha V. Khomenko | Zendy

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Uniform 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 - 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

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