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Stability of large-scale neutral type stochastic differential equations. (English) Zbl 0874.60050
Summary: We discuss various stabilities in mean square of large-scale neutral type stochastic differential equations using the method of lumped iterations.

##### MSC:
 60H10 Stochastic ordinary differential equations (aspects of stochastic analysis) 34K20 Stability theory of functional-differential equations 93E15 Stochastic stability in control theory 93D05 Lyapunov and other classical stabilities (Lagrange, Poisson, $$L^p, l^p$$, etc.) in control theory 34K40 Neutral functional-differential equations