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C_g空间中无限时滞随机泛函微分方程解的估计 被引量:1

Estimation of Solutions for Stochastic Functional Differential Equations with Infinite Delay in Phase Space C_g
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摘要 利用伊藤公式、BDG不等式及H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 Hlder 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.
作者 魏凤英
出处 《吉林大学学报(理学版)》 CAS CSCD 北大核心 2011年第5期814-818,共5页 Journal of Jilin University:Science Edition
基金 国家自然科学基金(批准号:10726062) 福建省自然科学基金(批准号:2010J01005) 福州大学科技发展基金(批准号:2010-XQ-24)
关键词 随机泛函微分方程 无限时滞 p阶矩 估计 stochastic functional differential equation infinite delay p-th moment estimation
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