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

Ting Li

doi:10.3934/cpaa.2007.6.279

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2007, Volume 6, Issue 1: 279-285. Doi: 10.3934/cpaa.2007.6.279

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

Ting Li^1,

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

Received: February 28, 2006

Revised: August 31, 2006

Published: February 2007

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Abstract

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.

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

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

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