A Condition for the Existence of a Unique Green–Samoilenko Function for the Problem of Invariant Torus

• Date: 2001
• Main Authors: Boichuk, О. A., Бойчук, А. А.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 2001
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/4277
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

Under the assumption that a linear homogeneous system defined on the direct product of a torus and a Euclidean space is exponentially dichotomous on the semiaxes, we obtain a condition for the existence of a unique Green–Samoilenko function for the problem of invariant torus. We find an expression f...