One step newton - iterations of the extended system for the nondegenerate turning point of the navier - stokes equations 方程的非退化转向点的扩充系统的一步牛顿迭代法
Finally , we give a simple condition for nondegeneracy of symmetric bilinear forms on infinite dimensional vector spaces 最后，我们给出有限维向量空间中对称双线性型非退化的简单条件。
And , to the second equation , we use a so - called energy perturbation method to show decay rate of the solution Q ）给出了一类kirchhoff型方程非退化时解的有限时刻爆破和对有限时刻的估计。
From this , we begin to consider whether the n - dimensional nondegenerate diffusion process possesses the same property 从这得到启示，我们开始考虑n维非退化扩散过程的样本轨道是否具有同样的性质。
This dissertation is on the enumeration and specific properties study such as non - degeneration and linear structure of functions with correlation immunity 本文着重研究相关免疫函数的计数问题及非退化性、线性结构等性质。
This paper obtained the result on the hausdorff dimension of level set of one - dimensional nondegenerate diffusion process , which resembles that of the brownian motion 本文获得了一维非退化扩散过程的样本轨道的水平集的hausdorff维数，其结果类似于brown运动。
It contains the problems of local existence of weak solutions , global existence and finite time blow - up of the first equation and decay rate of solutions of the second equation 内容包括前者退化时的弱解的存在唯一性、解的整体存在性与衰减估计、非退化时解的有限时刻爆破和后者解的能量衰减。
In chapter five , let { xt , i 1 } be - mixing sequences with identical distributions , which belong to domain of normal attraction with non - generational and stable distribution . with probability one , we have limsup a . s 第五章，设x _ n ， n 1是同分布-混合序列，其分布属于特征指数为( 0 2 )的非退化稳定分布的正则吸引场，证明了依概率1有
Furthermore , the fractal properties of the level sets and inverse image of compact sets of n - dimension non - degenerate diffusion processes is also considered by professor yang in [ 2 ] , and some new results are obtained in this paper 另外，杨新建教授在文献[ 2 ]中研究了紧集上非退化扩散过程样本的水平集和逆像集的一些分形性质，本文在这方面也做了一些工作。
There are some results " on the study of a n - dimensional nondegenerate diffusion process . in [ 1 ] , for n 2 , the hausdorff dimension of image set of its sample path is obtained , but for n = l , only its upper bound estimate ( see [ 2 ] ) 文[ 1 ]得到了n维( n 2 )非退化扩散过程样本轨道的象集的hausdorff维数，而对n = 1时，只得到了其象集的hausdorff维数的一个上界估计(见[ 2 ] ) 。
