Investigation of a nonlinear difference equation in a Banach space in a neighborhood of a quasiperiodic solution

• Date: 1997
• Main Authors: Samoilenko, A. M., Slyusarchuk, V. E., Slyusarchuk, V. V., Самойленко, А. М., Слюсарчук, В. Е., Слюсарчук, В. В.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 1997
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/5171
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We investigate the behavior of a diserete dynamical system in a neighborhood of a quasiperiodic trajeetory for the case of an infinite-dimensional Banach space We find conditions sufficient for the system considered to reduce, in such a neighborhood, to a system with quasiperiodic coefficients.