查询词典 cauchy inequality

First, we discuss the noncharacteristic Cauchy problem for 1-D heat equation.

首先，对一维的热传导方程的非特征Cauchy问题，我们利用边界积分方法将问题的求解转化成解积分方程组的问题，再对积分方程组进行离散化来数值求解，最后的数值结果表明我们的算法是有效的。

Firstly, by constructing an abstract operator, the original problem can be transformed into a Cauchy problem for an abstract operator equation.

首先，通过构造了一个抽象算子，将原问题转化为一个抽象算子方程的Cauchy问题。

In Chapter 4, on the basis of introducing the theory of linear operator semigroup and the Cauchy problem in Hilbert space, this dissertation has researched the method on solving solution of distributed parameter system, and the model estimation and optimal control of the nonlinear distributed parameter system.

本文第四章在介绍线性算子半群理论及希尔伯特空间中的柯西问题的基础上，研究了分布参数系统的近似解求解方法，一类非线性分布参数系统的模型辩识和最优控制等问题。

When the space variable is one-dimension, mathematicians had made thoroughly study in the existence and uniqueness of Cauchy problem or the first boundary problem.

当空间变量是一维时，人们对该退化抛物方程的Cauchy问题和第一边值问题解的存在唯一性已经进行了深入的研究。

In Chapter 3, as the first step, we consider the Cauchy problem for the simplified hydrodynamic model (1.2.2) for semiconductors in themulti-dimensional space.

在第三章中，作为研究的出发点，我们首先考虑了半导体模型中的高维简化Euler-Poisson方程组(1.2.2)的柯西问题，当初值在平衡态附近扰动时，建立了该问题经典解的整体存在性，唯一性和指数稳定性。

In chapter 3,we consider the Cauchy problem of transportation equation 〓Which is referred to as the simplification model of gas dynamics equations with constantpressure,and prove the existence and uniqueness of weak solution.

在第三章，我们考虑了运输方程〓，2的Cauchy问题，并且证明了广义解的存在性。最后，我们考虑下列二维Cauchy问题〓通过引进新的广义解定义，证明了解的存在唯一性。这个解可能含〓波。

In this thesis, we study Cauchy rational interpolation problem on the set of distinct nodes by algebraic method and give some algorithms in univariate and multivariate cases.

我们推广了有理插值问题解的概念，给出了扩展弱解，弱解和解的定义，并且说明在给定一个代数结构后扩展弱解集构成一个线性空间。

In this paper,we study the Cauchy problem of nonlinear Klein-Gordonequations By introducing a family of potential wells, we not only give a threshold resultof global existence and nonexistence of solutions, but also obtain the vacuumisolating of solutions.

本文研究了以下非线性K1ein-Gordon方程的柯西问题通过引进一族位势井，不仅得到了该问题解的整体存在性与不存在的门槛结果，而且也得到了解的真空隔离现象。

Cauchy problem and thendiscretize them in systems of ODEs.

我们给出了Nτ(0)-相容性的一个必要条件。

Numerical experiments are made to examine how the boundary Cauchy data affect the inverted process.

我们并具以数种数值的实验来观察柯西资料是如何影响到反算的量。

Food and air are requisites for life.

食物和空气是生命的必需品。

Graduate training lea ding to the Ph.D., an ancient German degree signifying the highest level of advanced scholarly attainment, was intr oduced.

通过研究生性质的学习可以获得表明最高学术造诣的古老的德国学位--博士学位。