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

Abstract

<p style='text-indent:20px;'>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 <inline-formula><tex-math id="M1">\begin{document}$ f\left( u, v, t\right) $\end{document}</tex-math></inline-formula>, where we introduce a suitable Banach space of functions <inline-formula><tex-math id="M2">\begin{document}$ \mathcal{\mathcal{W}} $\end{document}</tex-math></inline-formula> and we assume that <inline-formula><tex-math id="M3">\begin{document}$ f\left( \cdot , \cdot , t\right) $\end{document}</tex-math></inline-formula> is an element of the hull of an almost periodic function <inline-formula><tex-math id="M4">\begin{document}$ f_{0}\left( \cdot , \cdot , t\right) $\end{document}</tex-math></inline-formula> with values in <inline-formula><tex-math id="M5">\begin{document}$ \mathcal{\mathcal{W}} $\end{document}</tex-math></inline-formula>.</p>