existence and uniqueness theorem meaning in Chinese
存在和唯一定理
Examples
- An existence and uniqueness theorem of limit cycles for li 233 ; nard system
极限环的一个存在唯一性定理 - Existence and uniqueness theorems of solutions for a class of higher - order boundary value problems
一类高阶常微分方程边值问题的解的存在惟一性 - The existence of fixed point for some class of order - compression decreasing operators is studied , and some existence and uniqueness theorems are obtained . finally , we give an example of application
摘要研究了在序压缩条件下非紧减算子的不动点的存在性，得到了新的不动点定理，并给出了一个应用的例子。 - The equations of the mean value functions and the covariance functions are established for dynamical systems whose inputs are fuzzy stochastic processes . an existence and uniqueness theorem of ito fuzzy stochastic differential equations is proved , some explicit representations of solutions and the equations of statistical characteristics are deduced for linear fuzzy stochastic differential equations , and numerical methods to nonlinear fuzzy stochastic differential equations are proposed , the conditions for stability and observability of fuzzy linear systems are derived . the kalman filter algorithms of linear fuzzy stochastic systems are brought forward
主要成果包括：提出了模糊随机变量协方差和反向协方差的概念；研究了二阶模糊随机变量的均方收敛性，并在此基础上得到了均方模糊随机分析、平稳模糊随机过程及其谱分解的若干定理；根据均方模糊随机分析理论，得到了输入为模糊随机过程的线性系统的输出输入统计特征关系方程；证明了ito型模糊随机微分方程解的存在唯一性，并给出了ito型线性模糊随机微分方程解的表达式，统计特征方程以及非线性模糊随机微分方程的数值解法；得到了模糊线性系统的稳定性和可观性条件、线性模糊随机系统统计特征方程和线性模糊随机系统的kalman滤波算法；研究了当观测值是模糊数据时，线性回归模型的建立。