On stability of the trivial solution of a nonautonomous quasilinear system whose characteristic equation has multiple roots

• Date: 1994
• Main Authors: Vitrychenko, I. E., Витриченко, И. Е.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 1994
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/5660
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

For $t \uparrow \omega, \quad \omega \leq +\infty$, we obtain sufficient conditions for Lyapunov stability of the zero solution of a specific nonautonomous quasilinear differential system in the case where the matrix of the first-degree approximation has the Jordan form with triangular blocks. Met...