On Continuity of the Invariant Torus for Countable System of Difference Equations Dependent on Parameters
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...
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| Published in: | Нелінійні коливання |
|---|---|
| Date: | 2001 |
| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2001
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/174691 |
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| 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862631071677415424 |
|---|---|
| author | Marchuk, N.A. |
| author_facet | Marchuk, N.A. |
| citation_txt | 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. |
| collection | DSpace DC |
| container_title | Нелінійні коливання |
| description | 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 variable and the parameter contained in this system.
|
| first_indexed | 2025-11-30T11:13:23Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-174691 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1562-3076 |
| language | English |
| last_indexed | 2025-11-30T11:13:23Z |
| publishDate | 2001 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Marchuk, N.A. 2021-01-27T11:02:05Z 2021-01-27T11:02:05Z 2001 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. 1562-3076 https://nasplib.isofts.kiev.ua/handle/123456789/174691 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 variable and the parameter contained in this system. en Інститут математики НАН України Нелінійні коливання On Continuity of the Invariant Torus for Countable System of Difference Equations Dependent on Parameters Про неперервність інваріантного тора для зліченної системи диференціальних рівнянь, залежних від параметра О непрерывности непрерывного тора для счетной системы дифференциальных уравнений, зависимых от параметра Article published earlier |
| spellingShingle | On Continuity of the Invariant Torus for Countable System of Difference Equations Dependent on Parameters Marchuk, N.A. |
| title | On Continuity of the Invariant Torus for Countable System of Difference Equations Dependent on Parameters |
| title_alt | Про неперервність інваріантного тора для зліченної системи диференціальних рівнянь, залежних від параметра О непрерывности непрерывного тора для счетной системы дифференциальных уравнений, зависимых от параметра |
| title_full | On Continuity of the Invariant Torus for Countable System of Difference Equations Dependent on Parameters |
| title_fullStr | On Continuity of the Invariant Torus for Countable System of Difference Equations Dependent on Parameters |
| title_full_unstemmed | On Continuity of the Invariant Torus for Countable System of Difference Equations Dependent on Parameters |
| title_short | On Continuity of the Invariant Torus for Countable System of Difference Equations Dependent on Parameters |
| title_sort | on continuity of the invariant torus for countable system of difference equations dependent on parameters |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/174691 |
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