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

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.

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Bibliographic Details
Date:	1997
Main Authors:	Vitrychenko, I. E., Вітриченко, І. Є.
Format:	Article
Language:	Ukrainian English
Published:	Institute of Mathematics, NAS of Ukraine 1997
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/5054
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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