Periodic solutions of impulsive systems with a small delay in the critical case of second order

• Published in: Нелінійні коливання
• Date: 1998
• Main Authors: Boichuk, A.A., Covachev, V.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 1998
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/175812
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Periodic solutions of impulsive systems with a small delay in the critical case of second order / A.A. Boichuk, V. Covachev // Нелінійні коливання. — 1998. — Т. 1, № 1. — С. 6-19. — Бібліогр.: 10 назв. — англ.

We consider an impulsive differential-difference system such that the corresponding system without delay is linear and has an r-parametric family of w-periodic solutions. For this case, an equation for the generating amplitudes is derived, and sufficient conditions are obtained for the existence of...