On the stability of invariant sets of a system of autonomous differential equations under constantly acting perturbations

We consider a system of ordinary autonomous differential equations that has an invariant set. We obtain sufficient conditions for the stability of this system under constantly acting perturbations.

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Bibliographic Details
Date:1999
Main Authors: Ignat'ev, A. O., Konosevich, В. I., Игнатьев, А. О., Коносевич, Б. Я.
Format: Article
Language:Russian
English
Published: Institute of Mathematics, NAS of Ukraine 1999
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/4725
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal
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Summary:We consider a system of ordinary autonomous differential equations that has an invariant set. We obtain sufficient conditions for the stability of this system under constantly acting perturbations.