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

• Published in: Нелінійні коливання
• Date: 2001
• ISSN: 1562-3076
• 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&am...