唯一性

In Chapter 2 we deal with the existence and uniqueness of the local classical solution about the multidimensional coupled problem with one parabolic equation and two elliptic equations.

在第二章处理的是一个高维的含一个椭圆方程和两个抛物方程的耦合问题的局部古典解的存在性和唯一性。

The third section of this paper solves the existence and uniqueness of the positive entire solutions to a certain second order nonlinear elliptic equation.

第三节讨论一类非线性椭圆型方程正解的存在性以及唯一性。这些结果也是解决非线性椭圆型方程组问题的基础。

The third section of this paper solves the existence and uniqueness of the minimal positive entire solutions to a certain second order nonlinear elliptic equation.

第三节讨论一类非线性椭圆型方程全局最小正解的存在性以及唯一性。这些结果也是解决非线性椭圆型方程组问题的基础。

In part III by using capacity theory and extension theorem of Lip-schitz functions we first discuss the uniqueness of weak solution ofnonhomogeneous quasilinear elliptic equations〓in space〓,which is bigger then〓.

第三部分首先用容量理论、Lipschitz函数延拓定理讨论了一类非齐次拟线性椭圆型方程〓在比〓更大的空间〓中弱解的唯一性。

The model in this paper takes the form as belowThe main contents and results in this paper are as follows:In section 1, we state our main analytical results on equilibria of the above system. First, several sufficient conditions for coexistence of the steady-state are given by the standard fixed-point index theory in cone. Second, the global structure of the coexistence solutions and their local stability are established by using bifurcation theory. Third, the multiplicity, uniqueness and stability of positive steady-state solutions to this system are derived by means of perturbation theory of eigenvalues, standard regularity theory, Sobolev embedding theorem and fixed-point index theory.

本文主要有两章内容：第一章研究了该模型正平衡解的性质，可分为三部分：第一部分运用极值原理、上下解方法和锥映射不动点指标理论得到正平衡解存在的充分条件；第二部分利用分歧理论给出了平衡态系统正分歧解的结构，并讨论了局部分歧解的稳定性；第三部分利用特征值扰动理论、标准椭圆正则化理论、Sobolev嵌入定理及指标理论讨论了正平衡解的多重性、唯一性及稳定性，并讨论了参数对解的影响。

The design , which is based on the realization of dot operation of Visual C# digital image processing, exterts the object-oriented design technology and the technology on digital image processing, taking visual c#.net as a tool of system utility program development, and microsoft visual studio.net as integrated development enviornment, to develop system software by utility programming and GDI+,and to supports eight functions of digital image processing: inversecolour processing,graylevel processing ,brightening processing,embossment processing,edge test ,image smoothing, darkening processing and transparent processing.

用Visual C#。net 进行数字图像处理是我的一个全新的尝试，它具有开发过程简明，开发方式灵活，扩展性强等特点，是一种被广泛运用的前端开发平台。Visual C#。net提供多种多样的编程技术，对于一个刚入门不久的新手来说无疑是个挑战，尤其是图像处理中的算法，是个大难题，该问题也是这次毕业设计所要解决的主要问题，不过我想能够有毕业设计这个难得的机会使我对VC#有了一个更深入的了解。态度决定一切，只要你认真对待了，就一定会有收获。注：此文版权归本站所有，需付费购买，本站保证购买者的省唯一性。

Byapplying a general large deviation theorem of Kifer and Ruelle's Smale space tech-nique together with his unique equilibrium state result for non-Holder continuousfunctions,we obtain a level-2 LDT for the Axiom A endomorphism with respectto its equilibrium states,and for Axiom A attractors of the endomorphism withrespect to the Lebesgue measure.

利用Kifer的一个一般性的LDT，Ruelle的Smale空间方法及其关于非〓连续函数平衡态的存在唯一性结果，我们证明了公理A自映射相对平衡态的level-2 LDT，以及自映射的公理A吸引子相对Lebesgue测度的level-2LDT。

The fact that solution of wave equation is equivalent to the extreme value of quadratic function solution was verified, and the existence and uniqueness of the quadratic function solution was also proved.

证明了波动方程的解和二次泛函极值解的等价性，以及二次泛函极值解的存在唯一性，为其在液压传动中流体瞬变分析的进一步应用提供了理论依据。

In chapter 5, we obtain the invariant measure and the ergodic property of recurrent right processes.

在第五章里，我们得到了常返右过程的不变测度的存在性、唯一性及其遍历性。

The common conclusion was the uniqueness and necessity of Euclidean geometry.

欧几里德几何的唯一性与必要性已被公认。

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。