Lie algebras of derivations of n-differential operator algebra.

元微分算子代数的导子李代数结构。

The only thing they have in common is that both are what's called a first order differential operator.

它们唯一共同之处就是,它们都被叫作一阶微分算子。

The differential operator theory has many applications in the field of mathematical physics, mechanics and so on.

微分算子理论在数学物理、力学等领域有着广泛应用。

The former is called the spectra analysis of a differential operator and the latter is the inverse spectra problem.

前者称为微分算子的谱分析，后者称为逆谱问题。

The Hamiltonian of the system is the Driac operator which as a matrix differential operator is not semibounded from below.

系统的哈密顿函数是作为矩阵微分算子的狄拉克算子，它不是半有界的。

Chapter one is divided into two parts: in the first part, we give the simple summarize of adjointness of differential operator product;

第一章：引言和预备知识部分，主要是关于微分算子的积算子自伴的研究情况和对称微分算子的一些基本知识。

The problem of minimum_energy optimal control for multivariable linear systems determined by a class of differential operator matrixes is investigated.

考察由一类微分算子阵描述的多变量线性系统的极小能最优控制问题。

According to the fundamental equation of steady current field, the corresponding functional equation is obtained by use of the linear differential operator.

从稳定电流场基本方程出发，通过定义线性微分算子，推导出与之等价的泛函方程。

In comparison with the differential operator and its inverse - integral operator, the difference operator and its inverse (sum operator) are discussed in this paper.

与微分算子及其逆算子积分算子作比较，讨论了差分算子及其逆算子(和分)。

The global Fourier transform can also be obtained by switching (up to sign) the multiplication by a coordinate of the affine line and the differential operator with respect to this coordinate.

它等同于通过交换(可能差一个正负号)由局部坐标给出的数乘和这个局部坐标相对应的微分算子得到的微分模。

Based on theory of hyperbolic linear partial differential operator, the initial value problem of a kind of quasi-linear hyperbolic equations with non-zero initial values was introduced and studied.

基于双曲型线性偏微分算子理论，引入并研究了具有非零初始值的拟线性双曲型方程的定解问题。

The method of fundamental solutions(MFS), one of the radial basis function(RBF) methods, employs the fundamental solutions to the governing differential operator as the Euclidean distance based RBF.

基本解方法属于径向基函数类方法，它使用微分算子的基本解作为基于欧氏距离的径向基函数。

Sensitivity is different for different differential operators, how to choose a suitable edge detection operator to obtain exact information of edge, is the essential step for fracture surface image.

不同的微分算子对边缘的敏感程度是不同的，如何选用适当的边缘检测算子得到准确的边缘信息，就成为断口图像处理的关键步骤。

For the basic differential evolution algorithm, the increasing quadratic function crossover operator was added to increase the convergence speed.

在基本差分进化算法中，融入递增二次函数交叉算子以增加算法的收敛速度。

It is well-known that fractional integral operator is one of the important operators in harmonic analysis with background of partial differential equations.

众所周知，分数次积分算子是调和分析中以偏微分方程为背景的一种重要算子。

In this paper, by estimates of spectral of an integral operator, the authors give a theorem on the existence of solutions for first order differential difference equations with boundary condition.

摘要通过对积分算子谱的估计，作者给出了一阶线性微分差分方程在边值条件下解的存在唯一性定理。

At last the deformed algebra's single boson operator realization and one differential realization under finite_dimensional spaces are deduced.

最后求出多项式角动量代数的单玻色实现及其在有限维多项式函数空间的微分实现。

In this paper, we get the self-adjointness of the product operators generated by different two differential expressions by operator theory and matrix calculation.

此前对微分算子的积算子自伴的研究主要集中于由同一个对称微分算式生成的两个或多个微分算子积的自伴问题上，取得了一些成果。

In this paper, by estimates of spectral of an integral operator, the authors give a theorem on the existence of solutions for first order differential difference equations with boundary condition.

通过对积分算子谱的估计，作者给出了一阶线性微分差分方程在边值条件下解的存在唯一性定理。

Using it we can conveniently and simply convert a ME into its corresponding differential equation and from solution of which we can extract the reduced density operator.

该方法能方便、简洁地将密度主方程转化为对应的普通微分方程，并能从微分方程的解中提取出约化密度算符。

Impulse hyperbolic partial differential equation oscillation higher order Laplace operator.

脉冲双曲型偏微分方程振动性高阶Laplace算子。

Related problems and concepts include; convex operator, reciprocity set and reciprocity principles, H-generalized solution and operator-differential equation, etc.

有关的问题与概念有：凸算子，互易集与互易原理，H广义解，算子微分方程等。

With the aid of the projective operator technique, an integro-differential equation for the porbability density and an approximate equation for the mean first-passage time (MFPT) have been derived.

推导了平均第一通过时间（MFPT）方程，并在弱噪声和短相关近似下，得出方程的解； 通过数值分析阐明了平均第一通过时间和噪声关联时间之间的联系。