节点文献
伊藤型模糊随机微分方程
Fuzzy Stochastic Differential Equations of the Ito-type
【摘要】 提出了伊藤(Ito)型模糊随机微分方程的概念,证明了其解的存在唯一性,给出伊藤型线性模糊随机微分方程解的表达式和统计特征方程,并通过例子说明了解法。
【Abstract】 Fuzzy stochastic differential equations of the Ito-type are introduced for modelling systems with both fuzzy and random uncertainties. A theorem of existence and uniqueness on them is proved. In the case of linear equations, the explicit representations of solutions and their equations of statistical characteristics are deduced. Some examples are given for illustration.
【关键词】 模糊随机变量;
模糊随机过程;
模糊随机微分方程;
存在唯一性;
【Key words】 fuzzy random variable; fuzzy stochastic process; fuzzy stochastic differential equation; existence and uniqueness;
【Key words】 fuzzy random variable; fuzzy stochastic process; fuzzy stochastic differential equation; existence and uniqueness;
【基金】 国家自然科学基金(60374022)
- 【文献出处】 工程数学学报 ,Chinese Journal of Engineering Mathematics , 编辑部邮箱 ,2006年01期
- 【分类号】O211.63
- 【被引频次】18
- 【下载频次】706