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

• Datum: 2001
• Hauptverfasser: Boichuk, О. A., Бойчук, А. А.
• Format: Artikel
• Sprache: Russisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2001
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/4277
• Назва журналу: 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...