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May  2009, 8(3): 803-813. doi: 10.3934/cpaa.2009.8.803

Exponential attractors for second order lattice dynamical systems

Ahmed Y. Abdallah 1,

1. 

Department of Mathematics, University of Jordan, Amman 11942, Jordan

Received  May 2008 Revised  November 2008 Published  February 2009

In [3], we introduced for the first time the study of exponential attractors for lattice dynamical systems, where a first order system has been investigated. Here we shall examine the existence of an exponential attractor for the solution semigroup of a second order lattice dynamical system acting on a closed bounded positively invariant set in the Hilbert space $l^2\times l^2$.
Keywords: squeezing property, Lattice dynamical system, exponential attractor..
Mathematics Subject Classification: 37L30, 37L6.
Citation: Ahmed Y. Abdallah. Exponential attractors for second order lattice dynamical systems. Communications on Pure & Applied Analysis, 2009, 8 (3) : 803-813. doi: 10.3934/cpaa.2009.8.803
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