摘要
把文献[1]中的引理推广为分析概率论中有用的极限定理,改进了文献[1]的主要结果及简化了其证明过程,并获得了一个在概率微分方程理论中有重要应用的实用概率度量空间；给出了随机线性泛函延拓定理的应用；建立了概率微分方程解的局部存在性定理．
A useful limit theorem in probability theory is obtained by generalizing the lemma in reference [1]. The main result in the reference is improved with a great reduction of its proof procedure, and a probabilistic metric space is proposed that finds important applications in probabilistically differential equation theory. A application of the extension theorem of random linear function is introduced and a theorem of local existence of solutions of probabilistically differential equations is founded.
出处
《上海理工大学学报》
EI
CAS
北大核心
2005年第6期523-529,共7页
Journal of University of Shanghai For Science and Technology
关键词
概率度量空间
E-PN空间
概率微分
概率可积
概率微分方程
probabilistic metric space
E-PN space
probabilistic differential
probabilistic integriety
probabilistically differential equation
