查询词典 uniqueness theorem

By employing the local Lipschitz condition and Picard sequence, the local existence-uniqueness of solutions of stochastic functional differential equations of Ito-type is firstly obtained. Furthermore, a continuation theorem for stochastic functional differential equations of Ito-type is given by using stochastic analysis technique and the quasi-boundedness condition. Finally, by establishing some delay differential inequalities and using properties of H_m-functions, a stochastic version of Wintner theorem and the global existence-uniqueness of solutions of stochastic functional differential equations of Ito-type are given. The results generalize the earlier publications.

首先，利用局部Lipschitz条件和Picard序列，获得了伊藤随机泛函微分方程解的局部存在唯一性；其次，利用随机分析技巧和拟有界条件，建立了伊藤随机泛函微分方程解的延拓定理；最后，通过建立一些时滞微分不等式和利用H_m-函数的特性，得到了Wintner定理的随机版本和伊藤随机泛函微分方程解的全局存在唯一性，推广了已有的一些结果。

Chapter 2 discusses the aperture couple theory which is very useful to resonant systems. The uniqueness theorem of electromagnetic fields in lossless regions and the formulation of equivalant principles are presented.

第二章利用等效原理和并矢格林函数研究了谐振系统常用的耦合方式孔耦合的一般理论和小孔耦合的偶极子模型。

By using these maximum principles,the uniqueness theorem and gradient estimates for the solutions of some fourth order parabolic equations are obtained.

文摘：文中证明了四阶非线性抛物方程的最大值原理，利用这些最大值原理获得了一些四阶抛物型方程的解的唯一性定理和解的梯度估计。

An existence and uniqueness theorem of local solvability is proven for this equation, and compared with the existing results, the author's conditio ns restri cted to the nonlinear term of this equation are much general.

文章所给出的结果的适用性要远大于已有的与此问题相关的结论，对此方程非线性项的假设要比一般的多。

This paper presents the statements of the Uniqueness Theorem for magnetic field at first, then proves it in Conlomb Norms and general conditions. The latter is only a special one under the normal case.

本文首先给出静磁场唯一性定理的表述形式，对一般情况下和库仑规范条件▽A=0下的情况均作了证明，得出后者只是一般情况下的一个特例。

It is a usual presumption that distribution function can decide characteristic function and characteristic function can also decide the distribution function by the uniqueness theorem.

但通过本文引入的反例，我们可以知道，唯一性定理在有限区间上不成立，不过在无穷限区间上我们仍可以说，分布函数和特征函数是一一对应的。

Taylor expansion gives proof to the uniqueness theorem and the maximum modules principle , which is simple and clear at a glance, compared with the traditional proo

利用泰勒展开式证明了唯一性定理，最大模定理，与传统证明相比，具有简单、一目了然的特点。

The limits of non－ degenerate quasilinear equations (i.e. the regularizing problems) are established. The uniqueness theorem is proved by the contraction property of the solution.

通过对非退化拟线性抛物型方程系列解的极限研究，给出问题的存在性证明，对解的唯一性证明，用解的压缩性质。

For instance, we obtained the existence and uniqueness theorem and several judgement theorems on stability and instability for several types of nonlinear singular systems. Using Z-transformation, we estabilished the response formula of discrete singular systems with delay, and obtained the sufficient and necessary condition of rearchability.

如我们得到了某些非线性广义系统解的存在唯一性定理，及稳定与渐近稳定的判据；利用Z变换方法，得到了滞后离散广义系统的一般响应公式，进而得到了局部可达与局部能控的充要条件等。

Distribution function ; characteristic function ; the uniqueness theorem

分布函数；特征函数；唯一性定理

However, as the name（read－only memory）implies, CD disks cannot be written onorchanged in any way.

然而，正如其名字所指出的那样，CD盘不能写，也不能用任何方式改变其内容。

Galvanizes steel pallet is mainly export which suits standard packing of European Union, the North America. galvanizes steel pallet is suitable to heavy rack. Pallet surface can design plate type, corrugated and the gap form, satisfies the different requirements.

镀锌钢托盘多用于出口，替代木托盘，免薰蒸，符合欧盟、北美各国对出口货物包装材料的法令要求；喷涂钢托盘适用于重载上货架之用，托盘表面根据需要制作成平板状、波纹状及间隔形式，满足不同的使用要求。