Attractors of the Klein-Gordon-Schrödinger lattice systems with almost periodic nonlinear part

We study the existence of the uniform global attractor for a family of Klein-Gordon-Schrödingernon-autonomous infinite dimensional lattice dynamical systems with nonlinear part of the form \begin{document}$ f\left( u, v, t\right) $\end{document} , where we introduce a suitable Banach space of functions \begin{document}$ \mathcal{\mathcal{W}} $\end{document} and we assume that \begin{document}$ f\left( \cdot , \cdot , t\right) $\end{document} is an element of the hull of an almost periodic function \begin{document}$ f_{0}\left( \cdot , \cdot , t\right) $\end{document} with values in \begin{document}$ \mathcal{\mathcal{W}} $\end{document} .