Abstract
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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Translated by E. Oborin
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Sergeev, I.N. Examples of Autonomous Differential Systems with Contrasting Combinations of Lyapunov, Perron, and Upper-Limit Stability Measures. Moscow Univ. Math. Bull. 79, 55–59 (2024). https://doi.org/10.3103/S0027132224700062
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DOI: https://doi.org/10.3103/S0027132224700062