Some problems of the linear theory of systems of ordinary differential equations

• Published in: Український математичний журнал
• Date: 2011
• ISSN: 1027-3190
• Main Author: Samoilenko, A.M.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2011
• Subjects: Статті
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/166353
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Some problems of the linear theory of systems of ordinary differential equations / A.M. Samoilenko // Український математичний журнал. — 2011. — Т. 63, № 2. — С. 237–269. — Бібліогр.: 8 назв. — англ.

We consider problems of the linear theory of systems of ordinary differential equations related to the investigation of invariant hyperplanes of these systems, the notion of equivalence for these systems, and the Floquet – Lyapunov theory for periodic systems of linear equations. In particular, we i...