On averaging difference equations on an infinite interval
The averaging method on the semi-axis is justified for systems of difference equations. A theorem on
 closeness of the corresponding solutions of the exact and averaged systems on the semi-axis is proved. This
 theorem is analogous to N. N. Bogoliubov’s second theorem about an averag...
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| Published in: | Нелінійні коливання |
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| Date: | 2003 |
| ISSN: | 1562-3076 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2003
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/176985 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | On averaging difference equations on an infinite interval / O.M. Stanzhitskyi, A.M. Ateiwi // Нелінійні коливання. — 2003. — Т. 6, № 4. — С. 525-529. — Бібліогр.: 8 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| Summary: | The averaging method on the semi-axis is justified for systems of difference equations. A theorem on
closeness of the corresponding solutions of the exact and averaged systems on the semi-axis is proved. This
theorem is analogous to N. N. Bogoliubov’s second theorem about an averaging method for systems of
difference equations.
Наведено метод усереднення на пiвосi для систем рiзницевих рiвнянь. Доведено теорему про
близькiсть розв’язкiв точної та усередненої систем на пiвосi. Дана теорема є аналогом другої
теореми М. М. Боголюбова методу усереднення для систем рiзницевих рiвнянь.
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| ISSN: | 1562-3076 |