<正> Let ω(t) = (ω1(t),…, ωm(t))T be a Brownian motion defined on a complete probabili-ty space (Ω, F, P). τ>0, A, B, C are n×n matrices. σ: R+×R~n×R~n→Rn×n, whichis locally Lipschitz continuous and satisfies the linear growth condition. Theorem 1. Assume that there exists a symmetric nonnegative n×n matrix D such thatthe symmetric matrix