唯一性条件

Criterions of partial stable matrix and normal form of partial positive definete matrix are given, some conditions of solvability and uniqueness of Lyapunov matrix equation are discussed.

给出了部分稳定矩阵的几种判据与部分位正定矩阵的标准型，研究了矩阵方程可解性、唯一性的几种条件，提出一些可供进一步研究的问题。

From the application it is found that there is a unique stable periodic solution to the differential-algebraic system.

在此基础上，给出了其周期解的存在性、唯一性和稳定性的保证性条件。

Under some proper conditions we prove the existence of optimal controls in the class of Lipschitz functions, and obtain an optimality condition looks somehow like Pontryagin's maximum principle for a smooth optimal control function.

在适当的假设条件下，我们证明了状态方程解的存在唯一性和最优控制的存在性；并且根据最有控制函数的光滑性进一步对最优化存在的必要条件进行分析。

The sufficient condition of the existance and unigueness of solution is that the original main matrix is positive.

本文通过对这类数值计算问题的解的唯一性及存在性的讨论，表明了解存在且唯一的一个充分条件是原系数矩阵正定。

Under a resonance condition,a unique existence of generalized solution to the Direchlet boundary value problem of the semi-linear elliptic partial differential equations is given,and this extended partially the results that was known.

利用极小极大原理，在共振条件下，证明了一个半线性椭圆偏微分方程Direchlet边值问题广义解的存在唯一性定理，从而推广了已知的一些结果。

The existence and uniqueness of Verhulst's partial differential equations on the population mathematical models were proved under an assumed condition by Schauder's fixed-point theorem and Gronwall's lemma.

讨论了在一定的假设条件下，Verhulst型人口模型弱解的存在性、唯一性和渐近性。

In chapter II,the preliminary knowledgefor accomplishing this research is presented,and the well-posed problem ofthe thin-plate flow of non-Newtonian viscous fluids is testified.By using themonotone operator theory and Schauder's fixed point theorem,the generalizedsolution's existence and uniqueness theorem for the thin-plate flow problem ofnon-Newtonian viscous fluids is obtained under reasonable conditions.

第二章给出了进行本项研究所需的一些预备知识，对非牛顿粘性流体薄板流问题广义解的适定性进行了研究，应用单调算子理论和不动点定理，在合理的条件下，证明了非牛顿粘性流体薄板流问题广义解的存在性，唯一性定理。

Main results:(1) For the stochastic Volterra type integral equation with singular kernels,it is the first time to be investigated under non-Lipschitz conditions. The existence-uniqueness and Hlder\'s continuity are established.Here,an extended Minkowski\'s inequality plays a key role.

主要结论：(1)关于具有奇异核的随机Volterra型积分方程，我们首次在非Lipschitz条件下进行研究，得到解的存在唯一性和Hlder连续性(此处证明的一个关键步骤应用了推广的Minkowski不等式)。

In Chapter 3, the existence and uniqueness of time-delayed forward-backward stochastic differential equation are considered.

在第三章中，我们研究了带时滞的正倒向随机微分方程解的存在唯一性问题，在一定的单调性假设条件下，我们对这一问题给出了肯定的回答。

On the other hand, uniqueness of integral solution and its regularity are obtained by means of Lipschitz conditions, properties of absolute continuous mappings, reflexivity and strict convexity of Banach spaces.

借助Lipschitz条件、绝对连续函数的性质及Banach空间的自反严格凸性，获其积分解的唯一性且是强解。

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。