微分的

The differential equation is the most vitality branch in mathematics. In many domains of natural science, we can meet the ordinary differential equation solution question.

摘要微分方程是最有生命力的数学分支，在自然科学的许多领域中，都会遇到常微分方程的求解问题。

The oscillation theory of differential equation is one of important branchof differential equations.

微分方程的振动性理论是微分方程理论中一个十分重要的分支，它具有非常深刻的物理背景和数学模型。

Through creating a differential equation whose oscillation is equivalent to the impulsive equation, or considering the relation between impulsive points and delay, we get some sufficient conditions for the oscillation of the equation.

第二章讨论了二阶自共轭脉冲微分方程，通过建立与之振动性等价的微分方程，或考虑脉冲点与时滞间的关系，我们得出方程振动的一些充分条件。

The models of American option and perpetual American option are a free boundary problem of parabolic partial differential equation and ordinary differential equation respectively.

在相应的基本假设下，美式期权的定价模型是一个抛物型偏微分方程自由边界问题，而永久美式期权的定价模型是一个常微分方程自由边界问题。

And the further relation of these parameters is obtained by the transient response. Results show that the parameters of the PID control method for the system satisfy the following rules: the proportional parameter is larger than the derivative parameter, and the derivative parameter is larger than the integral parameter.

结果表明：为了满足数字电子气动式座舱压力变化速率和稳定性的要求，PID参数需满足一定的关系：在一定范围内，控制器的比例参数应大于微分参数，而微分参数应大于积分参数。

A kinetics model for martensitic transformation is established based on the fact that the partial derivative of martensitic fraction with respect to temperature is in linear relationship with the partial derivative of free energy difference with respect to temperature.

基于马氏体体积分数对温度偏微分与自由能差对温度偏微分呈线性关系的事实，通过对实验曲线的模拟，提出一种新的马氏体相变动力学公式。

Under the assumption that a differential Riccati equation is solvable, an exponential reduced-order observer is developed by means of coordinate transformation and the gain matrix of the proposed observer depends on the solution of the differential equation.

在一微分Riccati方程有正定解的前提下，通过坐标变换方法对该类系统提出了一种指数型降维观测器设计方法，该观测器的增益矩阵取决于微分Riccati方程的正定解。

The numerical calculation commonly used for the Delphi process more than 100, including solutions of linear algebraic equations, interpolation, numerical integration, special, function approximation, eigenvalue problems, data fitting equation Root and solve nonlinear equations, functions and the extreme optimization, statistical data description, Fourier transform spectra, solution of ordinary differential equations reconciliation partial differential equations.

本书共有数值计算中常用的Delphi子过程100多个，内容包括解线性代数方程组、插值、数值积分、特殊函数、函数逼近、特征值问题、数据拟合、方程求根和非线性方程组求解、函数的极值和最优化、数据的统计描述、傅里叶变换谱方法、解常微分方程组和解偏微分方程组。

Convex analysis part will study convex set, convex function and its subdifferential, Lipschitz function and its G-subdifferential in infinitive dimension.

第一，凸分析部分，包括无限维空间的凸集、凸函数和凸映射，凸函数的次微分，Lipschitz函数的G-次微分。

In this paper, we give the method of solving the partial differential equations with the combine use of symbolic and numerical method, which is a new way of solving the extremely complicated partial differential equations.

本文作出了将符号计算方法和数值计算方法结合起来求解偏微分方程的研究工作，这是求解比较复杂的偏微分方程的新途径。

In the negative and interrogative forms, of course, this is identical to the non-emphatic forms.

。但是，在否定句或疑问句里，这种带有"do"的方法表达的效果却没有什么强调的意思。

Go down on one's knees;kneel down

屈膝跪下。。。下跪祈祷