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.
CITATION STYLE
Zgurovsky, M. Z., & Kasyanov, P. O. (2018). Uniform global attractors for non-autonomous dissipative dynamical systems. In Studies in Systems, Decision and Control (Vol. 111, pp. 161–177). Springer International Publishing. https://doi.org/10.1007/978-3-319-59840-6_7
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