Abstract and Applied Analysis

On the Dynamics of Abstract Retarded Evolution Equations

Desheng Li, Jinying Wei, and Jintao Wang

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Abstract

This paper is concerned with the dynamics of the following abstract retarded evolution equation: d / d t u t + A u t = F u t - r 1 , , u t - r n + g t in a Hilbert space H , where A : D A H H is a self-adjoint positive-definite operator with compact resolvent and F : D A α n H    α 0 , 1 / 2 is a locally Lipschitz continuous mapping. The dissipativity and pullback attractors are investigated, and the existence of locally almost periodic solutions is established.

Article information

Source
Abstr. Appl. Anal., Volume 2013, Special Issue (2013), Article ID 359310, 9 pages.

Dates
First available in Project Euclid: 26 February 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1393449379

Digital Object Identifier
doi:10.1155/2013/359310

Mathematical Reviews number (MathSciNet)
MR3124034

Zentralblatt MATH identifier
1293.35157

Citation

Li, Desheng; Wei, Jinying; Wang, Jintao. On the Dynamics of Abstract Retarded Evolution Equations. Abstr. Appl. Anal. 2013, Special Issue (2013), Article ID 359310, 9 pages. doi:10.1155/2013/359310. https://projecteuclid.org/euclid.aaa/1393449379


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