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Qualitative and Quantitative Analysis of Nonlinear Systems pp 161–177Cite as

Uniform Global Attractors for Non-autonomous Dissipative Dynamical Systems

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Part of the book series: Studies in Systems, Decision and Control ((SSDC,volume 111))

Abstract

In this chapter 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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Authors and Affiliations

  1. Igor Sikorsky Kyiv Polytechnic Institute, Kyiv, Ukraine

    Michael Z. Zgurovsky

  2. Institute for Applied System Analysis, Igor Sikorsky Kyiv Polytechnic Institute, Kyiv, Ukraine

    Pavlo O. Kasyanov

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  1. Michael Z. Zgurovsky
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  2. Pavlo O. Kasyanov
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Correspondence to Michael Z. Zgurovsky .

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Zgurovsky, M.Z., Kasyanov, P.O. (2018). Uniform Global Attractors for Non-autonomous Dissipative Dynamical Systems. In: Qualitative and Quantitative Analysis of Nonlinear Systems. Studies in Systems, Decision and Control, vol 111. Springer, Cham. https://doi.org/10.1007/978-3-319-59840-6_7

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  • DOI: https://doi.org/10.1007/978-3-319-59840-6_7

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