To the problem of complementability of a periodic frame to a periodic basis

• Published in: Нелінійні коливання
• Date: 2001
• Main Authors: Burylko, O.A., Davydenko, A.A.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2001
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/174762
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: To the problem of complementability of a periodic frame to a periodic basis / O.A. Burylko, A.A. Davydenko // Нелінійні коливання. — 2001. — Т. 4, № 3. — С. 458-470. — Бібліогр.: 9 назв. — англ.

We obtain sufficient conditions (and necessary conditions in the simplest case) of complementability of a periodic frame to a periodic basis for the Euclidean space in terms of monodromy matrices of some linear system of differential equations built by using this periodic frame. We consider the pro...