唯一性

In chapter 4, using a space discretization and employing the method of induction, we prove that there exists a unique global regular solution for homogeneous Neumann boundary value problem of one-dimensional Landau-Lifshitz equation.

第四章，首先我们利用空间半离散方法及先验估计得到了一维Landau-Lifshitz方程齐次Neumann边值问题局部正则解的存在性，继而在整体先验估计的基础上证明了整体正则解的存在性与唯一性。

And control problems such as optimal import rate control, optimal harvesting control, optimal birth control are investigated. By means of nonlinear functional analysis, differential equations, integral equations, and modern control theory, a number of research results are obtained, which are theoretically valuable and provide a solid ground for the practical use of our models.

本文系统讨论了几类年龄依赖的单种群和多种群动力系统，综合应用非线性泛函分析、微分方程、积分方程以及分布参数系统控制论等理论与方法，深入地研究了这些系统的解的存在性、唯一性以及非负有界性；研究了这些种群动力系统的最优输入率、收获率和出生率控制问题，获得了一批重要的理论成果。

The existence and uniqueness of solution for population dynamics and the corresponding maximum principle are obtained by using Banach's fixed point theorem and the concept of normal cone.

第二节和第三节分别对具有年龄结构的竞争两种群和n种群扩散系统的最优收获问题进行了研究，获得了相应的极大值原理，以及两种群竞争系统最优控制问题解的存在唯一性。

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。

Ahigh accurate numerical table is obtained and checked by thisprogram.

在这一章，我们完成了上面所遗留的问题，给出了反问题的精确解和它的存在唯一性定理。

To begin with,the existence and uniqueness of the nonnegative solution of the system is obtained by use of the Volterra operator equation in a Banach space and elementary techniques.

利用Banach空间下的Volterra积分方程，运用初等方法首先证明了该系统非负解的存在唯一性。

Now there are manytriangulation algorithms in literatures,not only for plane point sets but alsofor space point sets.Because of the variety of results,we must choose one ofthem as the best in the meaning of some optimality criterion.

不论是平面还是空间散乱数据，都有不少文献讨论三角剖分算法，由于三角剖分的不唯一性，就有个优化问题。

Then,we prove the convergence of the radial basis function for solving partial differential equations with projection methods .

本文讨论用MQ作为插值的径向基函数，对自共轭椭圆型方程进行插值，证明了插值系数的唯一性，并用投影法证明了用径向基函数解自共轭椭圆型方程的收敛性。

By using the cone and partail ordering theory, and mixed monotone operator theory in nonlinear funtional analysis, the existence and uniqueness of the common fixed point for two non-monotone binary operator are discussed in partial ordering Banach space.

利用锥与半序理论和混合单调算子理论，讨论了半序Banach空间中两个非单调二元算子的公共不动点的存在性和唯一性，并给出了迭代序列收敛于公共不动点的误差枯计，所得结果是某些已知结果本质改进和推广。

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。

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。