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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

Ting Li 1,

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.
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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