Exponential dichotomy and existence of almost periodic solutions of impulsive differential equations

• Published in: Нелінійні коливання
• Date: 2014
• Main Author: Tkachenko, V.I.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2014
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/177107
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Exponential dichotomy and existence of almost periodic solutions of impulsive differential equations / V.I. Tkachenko // Нелінійні коливання. — 2014. — Т. 17, № 4. — С. 546-557 — Бібліогр.: 14 назв. — англ.

We obtain conditions for existence of piecewise continuous almost periodic solutions of a system of impulsive differential equations with exponentially dichotomous linear part. The robustness of exponential dichotomy and exponential contraction for linear systems with small perturbations of right-ha...