Geodesic
Stability criteria for systems of ordinary differential equations
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Differential Equations and Mathematical Physics, Tome 225 (2023), pp. 28-37

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In this paper, we present criteria of stability in the Lyapunov sense for systems of ordinary differential equations based on transformations of difference schemes. The purpose of the transformations is to obtain the dependence of the magnitude of the perturbation of the solution at an arbitrary point in time on the perturbation of the initial data.
Keywords: Lyapunov stability, computer analysis of stability, numerical simulation of stability. 
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     author = {S. G. Bulanov},
     title = {Stability criteria for 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},
     pages = {28--37},
     publisher = {mathdoc},
     volume = {225},
     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2023_225_a2/}
}
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S. G. Bulanov. Stability criteria for systems of ordinary differential equations. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Differential Equations and Mathematical Physics, Tome 225 (2023), pp. 28-37. http://geodesic.mathdoc.fr/item/INTO_2023_225_a2/