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Dynamics of Second Order Lattice Systems with Almost Periodic Nonlinear Part

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Abstract

We investigate the existence of the uniform global attractor for a family of infinite dimensional second order non-autonomous lattice dynamical systems with nonlinear part of the form \(f\left( u,t\right) \), where we introduce a suitable Banach space W and we assume that \(\left( f\left( \cdot ,t\right) ,\partial _{2}f\left( \cdot ,t\right) \right) \) is an element of the hull of an almost periodic function \(\left( f_{0}\left( \cdot ,t\right) ,\partial _{2}f_{0}\left( \cdot ,t\right) \right) \) with values in W.

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  1. Department of Mathematics, The University of Jordan, Amman, 11942, Jordan

    Ahmed Y. Abdallah

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Correspondence to Ahmed Y. Abdallah.

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Abdallah, A.Y. Dynamics of Second Order Lattice Systems with Almost Periodic Nonlinear Part. Qual. Theory Dyn. Syst. 20, 58 (2021). https://doi.org/10.1007/s12346-021-00497-3

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