唯一性

The existence of potential 〓、Ω is proved in linear functional space theories.

用线性函数空间理论证明了位函数〓、Ω的存在性；指出了现有文献在退化矢量位〓的唯一性证明中所存在的问题，并重新给予了证明；证明了位函数〓、Ω在导体与导体、导体与非导体界面上自然满足分界面条件；针对汽轮发机端部的轴对称涡流场，讨论了位函数〓、Ω的泛函及有限元代数方程组的形成。

By means of the C0 - semigroup theory of bounded linear operators in functional analysis we prove that thissystem has a unique nonnegative solution.

以往大多数文献都讨论维修系统的稳态解的情况，本文利用泛函分析中算子半群的方法研究了这类数学模型的非负动态解的存在唯一性。第三部分对积分半群和余弦算子族解析性的讨论。

In the second section, the existence and uniqueness of the solution of BDSDEP with Lipschitz condition is discussed.

第二章讨论了一致Lipschitz条件下BDSDEP解的存在唯一性。

In the last part, the existence and uniqueness of the solution of BDSDEP with local Lipschitz condition is discussed.

第五章讨论了局部Lipschitz条件下BDSDEP解的局部及全局存在唯一性。

When the target is of nonpositive curvature in the sense of Alexandrov, the noncharacteristic condition of the domain was removed and the uniqueness and local Holder continuity of energy minimizers were obtained.

当靶空间是非正曲率(Alexandrov意义下)空间时，定义域的非特征条件可以去掉，并可以得到能量极小解的唯一性和局部Hlder连续性。

All the known results about analytic solutions for iterative functional differential equations are obtained by the majorant series and the Banach fixed point theorem.

本文的第三章首先利用不动点定理得到了一类迭代泛函微分方程高阶光滑解的存在性、唯一性和关于已知函数的连续依赖性定理，得到了与常微分方程类似的结论。

Using integral equation theory and"contraction mapping"theorem, we prove that this model has a unique solution.

接着用压缩映象原理证明了此模型解的存在唯一性，这为讨论经济系统的稳定性奠定了数学基础，又通过对定常的投资方程渐近稳定性的研究和非定常投资方程Liapunov稳定性研究，我们分别讨论了积累率、劳动力和科技进步对经济增长的作用，进而指出只有依靠科技进步才能实现经济的持续增长，才能真正提高人民的生活水平。

Application of contraction mapping principle to recursion sequence of number;2. With the Banach contraction mapping principle and Schauder fixed-point theorem, on the consistent condition of nonlinear term, we get .

用压缩映像原理和Schauder不动点定理对带有不跨特征值扰动项的梁方程边值问题进行了研究，在非线性项满足渐进一致性条件下，得到了相应的解的存在唯一性结论。

The decomposition of the eigenspace of the defective matrix and the general form of Jordan chain ;2. The general form of the maximal Jordan chain s of the defective matrix is getten with the notation of depths of the generalized eigenvectors.

利用广义特征向量的深度，获得极大若当链的一般形式，并推导出在满足PJP-1=SJS-1的2个可逆矩阵P和S之间存在一个主对角线上具有上三角分块Toeplitz子阵的可逆矩阵H，使得S=PH，从而证明广义特征矩阵的唯一性。

There is mutual contradiction between direction estimation of user's signal and power allocation among all users in the beamforming algorithm. A twice game beamforming algorithm based on game theory is proposed to deal with it. Beamforming game algorithm mathematics model is constructed. During the first game, direction of signal and power allocation are mapped the game theory as "player", which are modeled as the problem of maximin function and obtain direction estimation first. Then during the second game, power allocations of different users are described as a multi-user game. Power updated algorithm is designed. The existence and uniqueness of the Nash equilibrium in the twice game beamforming algorithm based on game theory are proved by mathematics derivation.

摘要针对波束成形算法中，用户的信号方向估计值和用户之间的功率分配存在着相互矛盾，本文提出了一种基于博弈论的二次博弈波束成形算法，构建了波束成形博弈算法数学模型，首先在第一次博弈的时候，将波束成形算法中的信号方向和功率分配映射为博弈论数学模型中的"局中人"，将其建模为函数的极大极小值求解问题，先求解出信号方向；然后在第二次博弈的时候，将不同用户的功率分配过程描述为一个多用户的博弈过程，设计了功率分配更新算法，通过数学推导论证了纳什平衡点的存在性和唯一性。

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。