Geodesic
Necessary and sufficient conditions for the stability of systems of ordinary differential equations
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the Voronezh international winter mathematical school "Modern methods of function theory and related problems", Voronezh, January 27 - February 1, 2023, Part 3, Tome 229 (2023), pp. 22-32

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In this paper, we develop an approach to the analysis of the Lyapunov stability for systems of ordinary differential equations based on stability conditions in the multiplicative form. Under additional restrictions, various versions of stability conditions are obtained based on the behavior of the right-hand side of the system.
Keywords: Lyapunov stability, computer analysis of stability, numerical modeling of stability 
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     title = {Necessary and sufficient conditions for the stability of systems of ordinary differential equations},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
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     volume = {229},
     year = {2023},
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S. G. Bulanov. Necessary and sufficient conditions for the stability of systems of ordinary differential equations. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the Voronezh international winter mathematical school "Modern methods of function theory and related problems", Voronezh, January 27 - February 1, 2023, Part 3, Tome 229 (2023), pp. 22-32. http://geodesic.mathdoc.fr/item/INTO_2023_229_a2/