唯一性

In the solution of the problems in algebraic equation, differential equation and integral equation, we usually resort the sotution of equation to the fixed point of mapping in metric space. The contraction mapping principle can be used to solve many problems of the existence and uniqueness of equation solution.

在代数方程、微分方程和积分方程的求解问题中，通常把所求的解归结为度量空间中映射的不动点，然后应用压缩映象原理来统一处理许多方程解的存在性和唯一性问题。

Firstly, by constructing the Lyapunov function with a special structure, a prior estimate is obtained. Secondly, with the help of Green\'s function, the original problem is transformed into an equivalent operator equation, and the fixed point theory of contraction mapping in a Banach space guarantees the existence and uniqueness of the global solution.

首先，构造具有特殊结构的Lyapunov函数，得到解的先验估计；其次，借助Green函数将原方程等价变换成算子方程，Banach压缩映射的不动点定理保证了全局解的存在唯一性；最后通过常微分方程的定解，证明了主要结论，即平凡解全局渐近稳定。

In recently years, it has obtained some new results of the fixed point theorem and applications for nonlinear operators.

人们运用半序方法和拓扑度理论研究算子的不动点的存在唯一性，及多个不动点的存在性和存在范围。

The existence and uniqueness of the solutions are proved by Leray-Schauder fixed point theorem.

相应解的存在唯一性由Leray-Schauder不动点定理得以证明。

We prove that the existence and uniqueness of solution of the system of generalized nonlinear variational inclusions by using the fixed point theorem.

运用不动点定理，我们证明了广义非线性变分包含组解的存在性与唯一性。

Some existence and uniqueness theorems for above problem are established by using certain fixed point theorem based on the degree theory.

用基于度理论的不动点定理，建立了一系列存在唯一性定理。

In a polar coordinate system, the concept of image area extension is established, and the uniqueness problem is discussed for an image whose Fourier series expansion of grey only contains the 0th-order and 1th-order terms.

同时本文以极坐标系表示图像平面，建立了图像区域延拓的概念，讨论了由灰度关于极坐标系角度坐标的富里叶展开式仅含零阶和一阶项之图像恢复物体外形的唯一性问题。

In this paper,we consider the existence and uniquness of solution for Dirichlet problem of the Helmholtz equation on the domain with corners, i.e problemFor smooth boundary,we use potential theory to transform the problem into second kind boundary integral equation ,and use Fredholm alternative theorem,we obtain the existence and uniqueness of Dirichlet problem.

在本文中，我们考虑边界含尖点的有界区域上Helmholtz方程△u+k~2u=0的Dirichlet问题即问题与问题解的存在及唯一性。

By using the functional analysis theory, the existence and uniqueness of solution are proved.

利用泛函分析理论，证明了系统解的存在性和唯一性。

We present the preliminary knowledge in Chapter 2,which includes the main properties of Sobolev Functional Space,the calculus on the Banach Space and the existence and uniqueness of the solutions of parabolic equations.

第二章给出了本文的预备知识，即Sobolev函数空间基本性质和Banach空间上的微分学，以及抛物型方程解的存在唯一性。

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。