Reducibility of nonlinear almost periodic systems of difference equations given on a torus

• Date: 1994
• Main Authors: Martynyuk, D. I., Perestyuk, N. A., Samoilenko, A. M., Мартынюк, Д. И., Перестюк, Н. А., Самойленко, А. М.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 1994
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/5737
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

Sufficient conditions are established for the reducibility of a nonlinear system of difference equations $$x(x + 1) = x(1) + \omega + P(x(t), t) + \lambda,$$ where $P(x, t)$ is a function $2\pi$-periodic in $x_i(i = 1,..., n)$ and almost periodic in $t$ with a frequency basis $\alpha$, to the syste...