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Abstract and Applied Analysis
Volume 2013 (2013), Article ID 359310, 9 pages
Research Article

On the Dynamics of Abstract Retarded Evolution Equations

1Department of Mathematics, School of Science, Tianjin University, Tianjin 300072, China
2School of Electrical Engineering and Automation, Tianjin University, Tianjin 300072, China
3School of Mathematics, Lanzhou City University, Lanzhou 730020, China

Received 20 July 2013; Accepted 30 August 2013

Academic Editor: Carlo Bianca

Copyright © 2013 Desheng Li et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


This paper is concerned with the dynamics of the following abstract retarded evolution equation: in a Hilbert space , where is a self-adjoint positive-definite operator with compact resolvent and is a locally Lipschitz continuous mapping. The dissipativity and pullback attractors are investigated, and the existence of locally almost periodic solutions is established.