Criterions of exponential stability in the mean-square of solutions of some systems of essentially nonlinear differential equations with coefficients perturbed by white noise.

zbMATH Open1249.93129MaRDI QIDQ2896698

D. G. Korenivs'kyj

Publication date: 16 July 2012

Published in: Zbirnyk Prats' Instytutu Matematyky NAN Ukraïny (Search for Journal in Brave)

zbMATH Keywords

perturbationnonlinear differential equationswhite noisestability criterion

Mathematics Subject Classification ID

Perturbations in control/observation systems (93C73) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Stability, separation, extension, and related topics for functional equations (39B82) Asymptotic stability in control theory (93D20) Random dynamical systems aspects of multiplicative ergodic theory, Lyapunov exponents (37H15) Stability theory for smooth dynamical systems (37C75)

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