This article is cited in 1 scientific paper (total in 1 paper)
Stability of nondissipative systems under random perturbations that are small in the mean
L. A. Kalyakin
Institute of Mathematics with Computing Centre, Ufa Science Centre, Russian Academy of Sciences
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.
nonlinear equations, random perturbation, equilibrium, stability.
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L. A. Kalyakin, “Stability of nondissipative systems under random perturbations that are small in the mean”, Trudy Inst. Mat. i Mekh. UrO RAN, 19, no. 2, 2013, 170–178
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\paper Stability of nondissipative systems under random perturbations that are small in the mean
\serial Trudy Inst. Mat. i Mekh. UrO RAN
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O. A. Sultanov, “Stability of autoresonance models subject to random perturbations for systems of nonlinear oscillation equations”, Comput. Math. Math. Phys., 54:1 (2014), 59–73
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