Cg空间中无限时滞随机泛函微分方程解的估计

摘要

利用伊藤公式、BDG不等式及H(o)lder不等式,在相空间Cg中研究无限时滞随机泛函微分方程解的估计,得到了无限时滞随机泛函微分方程解的p阶矩估计、样本Liapunov指数估计、p阶矩的连续性等结果.%By means of Ito formula, BDG inequality and Holder inequality, the estimation of the solutions for stochastic functional differential equations with infinite delay was studied in Cg space. The p-th moment estimation, the sample Liapunov exponential estimation and the continuity for the p-th moment of solution to the system were obtained.