Geodesic
Stability of nondissipative systems under random perturbations that are small in the mean
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 19 (2013) no. 2, pp. 170-178 Cet article a éte moissonné depuis la source Math-Net.Ru

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The problem of stability under a permanent random perturbation is considered for a nondissipative system. Conditions for strong stability in probability are given in terms of the mathematical expectation of the (time) mean absolute value of the perturbation.
Keywords: nonlinear equations, equilibrium, stability.
Mots-clés : random perturbation 
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L. A. Kalyakin. Stability of nondissipative systems under random perturbations that are small in the mean. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 19 (2013) no. 2, pp. 170-178. http://geodesic.mathdoc.fr/item/TIMM_2013_19_2_a15/

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