Critical cases of stability of one nonautonomous essentially nonlinear equation of the nth order

• Datum: 1997
• Hauptverfasser: Vitrychenko, I. E., Вітриченко, І. Є.
• Format: Artikel
• Sprache: Ukrainisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 1997
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/5054
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We establish sufficient conditions of the Lyapunov stability of the trivial solution of a nonautonomous ordinary differential equation of the nth order in the case where its characteristic equation has a multiple zero root. The stability is determined by nonlinear terms.