Pullback attractors for asymptotically upper semicompact non-autonomous multi-valued semiflows
Ting Li - Department of Mathematics, Suzhou University, Suzhou 215006, Jiangsu, China (email)
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.
Keywords: Pullback attractor, asymptotically upper semicompact, absorbing set.
Received: March 2006; Revised: September 2006; Published: December 2006.
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