Attractors for a Class of Abstract Evolution Equations with Fading Memory

In this paper, we study the dynamics of an abstract evolution equation with fading memory with a critical growing nonlinearity. By use of some new methods and asymptotic estimate techniques, we first verify the asymptotic compact of solution semigroup and then prove the existence of global attractor...

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Bibliographic Details
Main Authors: Xuan Wang, Fenxia Duan, Didi Hu
Format: Article
Language:English
Published: Hindawi Limited 2017-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2017/1410408