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

Pages: 279 - 285, Volume 6, Issue 1, March 2007

doi:10.3934/cpaa.2007.6.279       Abstract        Full Text (110.4K)       Related Articles

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

Received: March 2006;      Revised: September 2006;      Published: December 2006.