求解随机微分方程半隐无导数法的稳定性

数值方法的有效性对于求解随机微分方程是很重要的,稳定性就是衡量其合理性的标准之一.讨论了在噪声为乘性噪声的条件下,半隐无导数法用于求解标量自治随机微分方程的均方稳定性和指数稳定性,并给出了半隐无导数法用于求解标量自治随机微分方程的均方稳定性和指数稳定性的条件,同时指出半隐无导数法用于求解标量自治随机微分方程的均方稳定性和指数稳定性是等价的.     

复模糊值函数级数的收敛及其推论

利用区间值函数级数、模糊数的序关系和分解定理讨论了复模糊值函数级数收敛性与发散性,给出了复模糊值函数级数收敛、一致收敛、绝对收敛的充要条件,并得到了复模糊值函数级数收敛的线性性及复模糊值函数级数收敛、发散的比较定理.所得结论拓展了模糊数学的基本概念,丰富了复模糊值函数级数的基本理论.     

模糊值函数极限(连续)及导数的新定义

介绍了模糊数的概念,模糊的运算规则,区间函数及模糊值函数的λ-截集,利用区间函数及模糊值函数的λ-截集给出模糊值函数的极限、连续和导数的定义.在此基础上首次提出模糊值函数一致极限、一致连续和一致导数的概念,并讨论了它们之间的关系.得出了模糊值函数在区间上有一致极限,则在区间上一致连续;在区间上一致连续,则在区间上有一致...     

中国服务业利用外商直接投资实证分析

In the process of global industrial adjustment, the structure of Foreign Direct Investment (FDI) has shifted towards services. The degree of openness of service industry has been greatly improved since China's opening up to the outside world. As a result, FDI in services has grown substantially. It can be expected that China's service industry will become the most attractive field to foreign capital. In this paper, the status, problems and determinants of FDI in China's service industry are analyzed. Compared with the world growth trend of services FDI and its changing mix, the stock of China's services FDI is rather small and the sector distribution is uneven: the proportions of finance, trade and fundamental service sectors are very small, while FDI in real estate, leasing and business services account for very large share. Services FDI in China shows strong locational preference, while the sector distribution in provinces or cities does not have much difference, mostly concentrating in such service sectors as real estate and social services. Services FDI in China are positively influenced by the degree of openness and market scale. However, there aren't appreciable relationships between services FDI and the infrastructure, development level of service industry and human capital. It conducts empirical analyses on the relationship between services FDI and the value-added, labor productivity of China's service industry. It shows that the positive relationship between services FDI and the development of China's service industry is not evident. There exists a positive correlation between services FDI and labor productivity of China's service industry, but this effect has a time lag. Some countermeasures are put forward accordingly.