Reducibility of nonlinear almost periodic systems of difference equations on an infinite-dimensional torus

• Date: 1994
• Main Authors: Martynyuk, D. I., Perestyuk, N. A., Samoilenko, A. M., Мартинюк, Д. І., Перестюк, М. О., Самойленко, А. М.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 1994
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/5638
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

Sufficient conditions of reducibility of the nonlinear system of difference equations $x(t + 1) = x(t) + \omega + P(x(t), t) + \lambda$, to the system $y(t + 1) = y(t) + \omega$ are found; here, $x, \omega, \lambda \in \textbf{m}$, and the infinite-dimensional vector function $P(x(t),t)$ is $2\pi...