Global asymptotic stability with respect to part of the variables for solutions of systems of ordinary differential equations
type: Item
instance of: scholarly article
title: Global asymptotic stability with respect to part of the variables for solutions of systems of ordinary differential equations
zbMATH Open document ID: 1448.34115
DOI: 10.1134/S001226612006004X
author: M. Yu. Filimonov
published in: Differential Equations
publication date: 2020-07-13T00:00:00Z
review text: The present paper gives sufficient conditions for stability with respect to part of the variables and proposes a novel approach to the study of state trajectories of ordinary differential equations that is based on constructing special functions that are coined as admissible functions and do not coincide with Lyapunov functions. A global stability theorem is proved. Some applications of this theorem are considered.
Mathematics Subject Classification ID: 34D20
zbMATH DE Number: 7219731
zbMATH Keywords: global asymptotic stability with respect to part of variables
zbMATH Keywords: an admissible function
reviewed by: Alexander O. Ignatyev
MaRDI profile type: Publication
cites work: Q3030296
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full work available at URL: s001226612006004x
OpenAlex ID: W3040517029
description: scientific article; zbMATH DE number 7219731