Reducibility of linear systems of difference equations with almost periodic coefficients

• Date: 1993
• Main Authors: Martynyuk, D. I., Mitropolskiy, Yu. A., Tynnyi, V. I., Мартынюк, Д. И., Митропольский, Ю. А., Тынный, В. И.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 1993
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/5974
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

For the linear systemof difference equations $x(t + 1) = Ax(t) + P(t)x(t)$, where the matrix $P(t)$ is almost periodic, sufficient conditions are given, which reduce it to a system with a constant matrix.