On linear systems with quasiperiodic coefficients and bounded solutions

• Date: 1996
• Main Authors: Tkachenko, V. I., Ткаченко, В. І.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 1996
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/5368
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

For a discrete dynamical system ω n =ω0+αn, where a is a constant vector with rationally independent coordinates, on thes-dimensional torus Ω we consider the setL of its linear unitary extensionsx n+1=A(ω0+αn)x n , whereA (Ω) is a continuous function on the torus Ω with values in the space ofm-dim...