On the reduction principle in the theory of stability of motion

• Date: 1993
• Main Authors: Lykova, O. B., Лыкова, О. Б.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 1993
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/5973
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

This paper deals with the development of Lyapunov's idea of reducing the problem of stability of the trivial solution of a system of higher-order differential equations to a similar problem for a system of lower order. Special attention is paid to the application of integral manifolds and a...