Geodesic
Necessary and sufficient criteria of Lyapunov stability for systems of ordinary differential equations
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Differential Equations and Optimal Control, Tome 224 (2023), pp. 10-18.

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Necessary and sufficient criteria of Lyapunov stability for systems of ordinary differential equations are obtained. The criteria are obtained in the multiplicative form based on the transformation of difference schemes for numerical integration and are converted to the additive and integral forms. The formal restrictions for these criteria are constructed and their applicability conditions are indicated.
Keywords: Lyapunov stability, computer stability analysis, numerical modeling of stability. 
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S. G. Bulanov. Necessary and sufficient criteria of Lyapunov stability for systems of ordinary differential equations. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Differential Equations and Optimal Control, Tome 224 (2023), pp. 10-18. http://geodesic.mathdoc.fr/item/INTO_2023_224_a1/

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