Geodesic
Examples of autonomous differential systems with contrast combination of measures of Lyapunov, Perron, and upper-limit stability
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 1 (2024), pp. 50-54 
I. N. Sergeev. Examples of autonomous differential systems with contrast combination of measures of Lyapunov, Perron, and upper-limit stability. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 1 (2024), pp. 50-54. http://geodesic.mathdoc.fr/item/VMUMM_2024_1_a5/
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Voir la notice de l'article provenant de la source Math-Net.Ru

New characteristics of differential systems are studied, which meaningfully develop the concepts of Lyapunov, Perron and upper limit stability or instability of the zero solution of a differential system from the standpoint of probability theory. Examples of autonomous systems are proposed for which these characteristics take opposite values in a certain sense.

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