Open AccessAttractors of the Klein-Gordon-Schrödinger lattice systems with almost periodic nonlinear part
Author(s) -
Ahmed Y. Abdallah,
Taqwa M. Al-Khader,
Heba N. Abu-Shaab
Publication year - 2022
Publication title -
discrete and continuous dynamical systems. series b
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.864
H-Index - 53
eISSN - 1553-524X
pISSN - 1531-3492
DOI - 10.3934/dcdsb.2022006
Subject(s) - mathematics , attractor , combinatorics , lattice (music) , banach space , discrete mathematics , physics , mathematical analysis , acoustics
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} .