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
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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.
@article{VMUMM_2024_1_a5,
author = {I. N. Sergeev},
title = {Examples of autonomous differential systems with contrast combination of measures of {Lyapunov,} {Perron,} and upper-limit stability},
journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
pages = {50--54},
publisher = {mathdoc},
number = {1},
year = {2024},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VMUMM_2024_1_a5/}
}
TY - JOUR AU - I. N. Sergeev TI - Examples of autonomous differential systems with contrast combination of measures of Lyapunov, Perron, and upper-limit stability JO - Vestnik Moskovskogo universiteta. Matematika, mehanika PY - 2024 SP - 50 EP - 54 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/VMUMM_2024_1_a5/ LA - ru ID - VMUMM_2024_1_a5 ER -
%0 Journal Article %A I. N. Sergeev %T Examples of autonomous differential systems with contrast combination of measures of Lyapunov, Perron, and upper-limit stability %J Vestnik Moskovskogo universiteta. Matematika, mehanika %D 2024 %P 50-54 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/VMUMM_2024_1_a5/ %G ru %F VMUMM_2024_1_a5
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/