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

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March 2007, 6(1): 279-285. doi: 10.3934/cpaa.2007.6.279

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

1.	Department of Mathematics, Suzhou University, Suzhou 215006, Jiangsu, China

Received March 2006 Revised September 2006 Published December 2006

Abstract
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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.

Keywords: absorbing set., Pullback attractor, asymptotically upper semicompact.

Mathematics Subject Classification: Primary 37D35; Secondary 34D2.

Citation: Ting Li. Pullback attractors for asymptotically upper semicompact non-autonomous multi-valued semiflows. Communications on Pure & Applied Analysis, 2007, 6 (1) : 279-285. doi: 10.3934/cpaa.2007.6.279

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