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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

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.
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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