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.

中文翻译：

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具有近周期非线性部分的二阶格系统的动力学

我们研究了具有形式为\(f\left( u,t\right) \) 的非线性部分的无限维二阶非自治晶格动力系统族的均匀全局吸引子的存在，我们在其中引入了合适的 Banach空间W并且我们假设\(\left( f\left( \cdot ,t\right) ,\partial _{2}f\left( \cdot ,t\right) \right) \)是几乎周期函数的外壳\(\left( f_{0}\left( \cdot ,t\right) ,\partial _{2}f_{0}\left( \cdot ,t\right) \right) \ ）与值w ^。