唯一性

In this paper, we discuss the uniqueness limit cycle and the question of bifurcate about a class of general Liénard equation in the system.

本文研究了系统中一类属于广义liénard 型方程的系统，即对系统在m、n、、同号情况下，讨论了它的极限环的存在唯一性及分支问题。

Subsequently,Bihari\'s inequality is generalized to the equation with fractional integral kernel.With the help of the new inequality,we further weaken the condition on equations with special integral kernels,and obtain the corresponding results.

然后，将Bihari不等式推广至具有分式积分核的情形，利用新的不等式对具有特殊积分核的方程条件做了进一步减弱，建立了相应的存在唯一性和正则性结论。

Bisection searching method is used to produce a set of optimal user bids to allocate resource capacity proportionally.

讨论了用户出价函数的特征，证明了该方案的存在性和唯一性。

In this paper, we study the L~1 stability of the classical solutions and the existense of the eternal solution for the Boltzmann equation with a small initial data. In fact, C.

本文研究的是空间非齐次Boltzmann方程的L~1稳定性和永久型解的存在唯一性。

Finally, using a new iterative method, a variant of Kaniel-Shinbrot iterative method, we prove the existence and uniqueness of eternal solution to Boltzmann equation for the hard interactions and rigid spheres model.

最后，本文利用一种新的迭代方法(有别于Kaniel-Shinbrot迭代)在硬位势和硬球模型情形下证明了Boltzmann方程永久型解的存在唯一性。

The thesis is organized as follows:In Chapter 1,a new partial differential equation model for Spontaneous Potential log in heterogeneous formations is introduced.At the same time,the existence and uniqueness of weak solution to the problem are proved,and the problem of resistance identification in SP log is studied.Furthermore,a jump condition capturing finite difference scheme is proposed and applied to solve such elliptic interface problems.The effects of various factors on SP response,which include objective layers resistivity,bed thickness,bore-hole diameter,invasion and water-flooded zones and so on,are investigated quantitatively by the proposed method, and satisfactory results are obtained.

具体安排如下：第一章首先建立复杂地层中自然电位测井的偏微分方程数学模型，证明了该边值问题弱解的存在唯一性，在此基础上研究了自然电位测井电阻率识别问题：然后发展了用于求解椭圆交界面问题的间断捕捉有限差分方法，利用该方法定量分析了目的层电阻率、地层厚度、井径、侵入带和水淹层等因素对自然电位测井响应的影响，取得了满意的结果。

In this paper we will study the uniqueness of weak solutions of the first boundary value problem for a degenerate parabolic equation.

本文研究了一类具有退化性的抛物型偏微分方程的第一边值问题的弱解的唯一性。

This paper deals with certain kind of parabolic boundary value problem with equiv-alued sur...

本文主要是对一类具有薄层区域的抛物型方程等值面边界问题进行了探讨，并且研究了解的存在性、唯一性及其极限性态。

In this dissertation, the best simultaneous approximation with weight to infinite sequence from simultaneous-suns in complex normed linear space is considered, and in the case when the weight satisfies a certain condition, the characterizations of approximation from a simultaneous-sun and uniqueness of approximation from a RS-set are obtained; moreover, in the case when the weight is free, the characterizations of approximation to a totally bounded sequence from a convex set are established.

本文在复赋范空间中研究了同时太阳集对无限序列的加权同时逼近问题，在权满足一定条件时，通过把所研究问题转化为连续向量值函数空间中相应集对一个上半连续函数的最佳逼近问题，得到了逼近的特征和RS集逼近的唯一性定理，有例表明它们是已有结果的本质推广；在权不受限制时，得到了凸集对全有界序列逼近的特征。

Under some reasonable assumptions of the'Distribution Matrix', the Riemann Problem with piecewise constant initial data is proved to have a unique Riemann Solver; furthermore, using'Wave Front Tracking Method'and properties of the'Generalized Characteristics', we prove the existence of weak entropy solution to the Riemann Problem with arbitrary initial data of bounded Total Variation.

在"分布矩阵"满足合理的假设前提下，证明了具有分片常值初始条件的黎曼问题的黎曼解算子的存在唯一性；并进一步运用"波前追踪法"和"广义特征"等得到了具有任意有界全变差初值条件的广义黎曼问题的弱熵解的存在性。

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。