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Exponential attractors for second order lattice dynamical systems

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  • 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 $l^2\times l^2$.
    Mathematics Subject Classification: 37L30, 37L60.


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