On invariant sets of differential equations with impulses

• Published in: Нелінійні коливання
• Date: 1999
• Main Author: Tkachenko, V. I.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 1999
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/177272
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On invariant sets of differential equations with impulses / V.I. Tkachenko // Нелінійні коливання. — 1999. — Т. 2, № 4. — С. 540-558. — Бібліогр.: 18 назв. — англ.

For a system of ordinary differential equations depending on a small parameter, defined on the direct product of a torus and aEuclidean space, and subjected to impulsive action on a submanifold of codimension 1 of the torus, we study the problem of existence of a piecewise smooth invariant set. Вивч...