On the functional polystability of certain essentially nonlinear nonautonomous differential systems

• Date: 2000
• Main Authors: Vitrychenko, I. E., Витриченко, И. Е.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 2000
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/4408
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

For essentially nonlinear differential systems with the limit matrix of coefficients of the first-approximation system, we establish sufficient conditions for functional polystability, which generalizes the notion of exponential polystability.