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Pullback attractors for asymptotically upper semicompact non-autonomous multi-valued semiflows

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  • 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.
    Mathematics Subject Classification: Primary 37D35; Secondary 34D20.

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