| 关于二阶模糊随机过程均方Henstock-Stieltjes积分 |
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| 引用本文： | 任爱红. 关于二阶模糊随机过程均方Henstock-Stieltjes积分[J]. 西北纺织工学院学报, 2011, 0(5): 717-720,759 |
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| 作者姓名： | 任爱红 |
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| 作者单位： | 宝鸡文理学院数学系,陕西宝鸡721013 |
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| 基金项目： | 陕西省教育厅科研计划项目（09JK335）;宝鸡文理学院科研计划项目（ZKl0109） |
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| 摘 要： | 研究了二阶模糊随机过程均方Henstock-Stieltjes积分的分部积分法，给出了二阶模糊随机过程第一形式均方Henstock-Stieltjes积分和第二形式均方Henstock-Stieltjes积分的存在性条件．这些结论对研究模糊随机过程积分和微分方程的理论将起到很重要的作用．
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| 关 键 词： | 二阶模糊随机过程 均方连续 均方Henstock-Stieltjes积分 |
Mean-square Henstock-Stieltjes integrals for second order fuzzy stochastic process |
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| REN Ai-hong. Mean-square Henstock-Stieltjes integrals for second order fuzzy stochastic process[J]. Journal of Northwest Institute of Textile Science and Technology, 2011, 0(5): 717-720,759 |
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| Authors: | REN Ai-hong |
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| Affiliation: | REN Ai-hong( Department of Mathematics, Baoji University of Arts and Sciences, Baoji, Shaanxi 721013, China) |
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| Abstract: | In this paper, the integration by parts of the mean-square Henstock-Stieltjes integral is discussed.Some mean-square integrability conditions of the integrals I andⅡare given. These results play important roles in further studying integrability and differentiability of fuzzy stochastic process. |
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| Keywords: | second order fuzzy stochastic process mean-square continuous mean-square Henstock-Sfieltjes integrals |
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