On Continuity of the Invariant Torus for Countable System of Difference Equations Dependent on Parameters

• Published in: Нелінійні коливання
• Date: 2001
• Main Author: Marchuk, N.A.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2001
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/174691
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On Continuity of the Invariant Torus for Countable System of Difference Equations Dependent on Parameters / N.A. Marchuk // Нелінійні коливання. — 2001. — Т. 4, № 3. — С. 316-325 . — Бібліогр.: 6 назв. — англ.

By using the method of the Green – Samoilenko function, an invariant torus is constructed for a system of discrete equations which are defined on tori in the space of bounded number sequences. Sufficient conditions are established for continuous dependence of the invariant torus on the angular va...