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Pullback attractors for asymptotically upper semicompact non-autonomous multi-valued semiflows
In this paper we study the existence of
pullback attractors for non-autonomous multi-valued semiflows.
First, we prove abstract results on the existence of limit sets
under the assumptions of pullback asymptotically upper
semi-compact and pullback absorbing. Then, we prove the
existence of pullback attractors. Further, we prove the existence
of $D$-pullback attractor under weaker conditions.