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Application of the direct Lyapunov’s method to the investigation of integral sets

The concepts are defined of the stability, attraction, and asymptotic stability of the integral sets of systems of ordinary differential equations. With the use of the second method of Lyapunov, a number of theorems are proved concerning the stability of integral sets.

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Bibliographic Details
Date:	1992
Main Authors:	Ignatyev, A. O., Игнатьев, А. О.
Format:	Article
Language:	Russian
Published:	Institute of Mathematics, NAS of Ukraine 1992
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/8230
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal

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