On averaging difference equations on an infinite interval

• Published in: Нелінійні коливання
• Date: 2003
• Main Authors: Stanzhitskyi, O.M., Ateiwi, A.M.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2003
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/176985
• 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.

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...