微分

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。

At the beginning of fourth chapter, the article transforms the solving problem of partial differential equation for the American put price into a standard initial and boundary value problem of Parabolic Type by making some transformations.

在第四章，对美式看跌期权价格所满足的偏微分方程定解问题通过作一系列变换，使之转化为一个标准的抛物型初、边值问题，接着又通过傅里叶变换，把抛物型初、边值问题转换为一个关于时间变量的常微分方程初值问题，然后再分别利用改进的欧拉法和有限元法对其进行了求解。

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。

A class of systems of impulsive delay parabolic partial differential equations with nonlinear diffusion coefficient is considered.

考虑一类具非线性扩散系数的脉冲时滞抛物型偏微分方程组，利用Green公式、垂直相加法和脉冲时滞微分不等式，获得了该类方程组在Robin边值条件下所有解振动的充分判据。

The noise frequency modulation signal was particularly analyzed. The Fokker-Planck equation of noise frequency modulation was presented and the Motion-Group Fourier Transform was used by converting the partial differential equation into the variable coefficient homogenous linear differential equations. Then the solutions were given by using the peano-baker series. So the probability density function of noise frequency modulation in the filter was given. On the basis of the probability density function the stochastic resonance of noise frequency modulation signal is analyzed.

首先建立了噪声调频干扰信号通过脉冲压缩雷达中频滤波器后所满足的福克尔－普朗克方程，然后利用群移傅立叶变换（Motion-Group Fourier Transform，MGFT）将此偏微分方程化成了变系数齐次线性微分方程组，并利用Peano-Baker级数法给出了该方程组的解，最后得到了噪声调频干扰信号通过脉冲压缩雷达中频滤波器后的概率密度函数，在此基础上研究了噪声调频干扰信号造成的随机共振现象。

Firstly, from the functional analysis, the eigenfunction series of vectorial partial differential operator is studied. The property of complete space is gotten. And this result is extended to the eigenfunction of Maxwells equations.

本文首先从泛函分析的方法出发，研究了矢量偏微分算子本征函数系的性质，得到了矢量偏微分算子正交完备归一化本征函数的存在证明，研究了Maxwell方程组的情况，证明了电磁场在均匀和非均匀介质条件下的正交本征函数系的完备性质。

It presents developments in the study and optimal control of partial differential and functional differential equations.

它提出在偏微分和功能微分方程的研究和最佳控制方面的发展。

It is pointed out that the solution of the differential equation is a periodic function.

建立了水平方向静电悬浮非线性系统微分方程形式的数学模型，指明了该微分方程的解是振动周期函数。

This one mode pays close attention to network credence foundation of the businessman very much.

这一模式非常关注商人的网络信用基础。

Cell morphology of bacterial ghost of Pasteurella multocida was observed by scanning electron microscopy and inactivation ratio was estimated by CFU analysi.

扫描电镜观察多杀性巴氏杆菌细菌幽灵和菌落形成单位评价遗传灭活率。