微分的

The differential characteristic set for differential polynomial system maintains the essential character of original differential polynomial system.

微分多项式系统的微分特征列集保留了原微分多项式组的本质特征，具有三角化良序结构等优点，能够克服不同领域问题中的一些困难。

Finally, we put forward the concept of differential characteristic set modulo with respect to a polynomial and present the properties of the characteristic set.

最后，对微分特征列集理论进行了推广，给出了微分多项式系统的模微分特征列集的概念，并研究了其具有的性质。

The researches in this paper have offered solutions to initial value problem for ordinary differential equation involving difference of two monotone functions, ordinary differential equation with integral boundary conditions, and first-order impulsive ordinary differential equation with anti-periodic.

本文结果包含了具有两个函数差的常微分方程初值问题(当 Ik=Gk=0，λ1=λ2=0 时)，常微分方程积分边值问题(当 Ik=Gk=0，g=0，λ1=0，λ2=±1时)，一阶脉冲微分方程反周期边值问题(当 g=0，Gk=0，λ2=d=0 时)的相关结果。

Based on traditional Fourier differentiation matrix and some modifications of the original differentiation operator, this paper refers to a new kind of method——staggered-grid Fourier pseudospectral differentiation operator.

本文在传统傅里叶微分矩阵的基础上，对原始微分算子进行改进，引入了错格微分算子的傅里叶伪谱方法。

Relative to SDE, the study for the solution of BSDE under non-Lipschitz condition is absence, especially when the uniqueness of the solution can not be guaranteed, the existence of minimal and maximal solution of BSDE are not be studied.

相对于正向随机微分方程，非Lipschitz条件下倒向随机微分方程解的性质的研究尚不够丰富，特别是条件不能保证方程解唯一时，倒向随机微分方程最大最小解的存在性尚未见有成果。

Differential Quadrature Method, one of numerical methods of solving boundary problem of differential equation is introduced in this paper. By using DQM, the dynamic stability of pipes conveying fluid and rectangular plates under the action of non-conservative force is studied. The main research work is as follows.

本文首先介绍了求解微分方程边值问题的一种数值方法—微分求积法，然后采用微分求积法分别对输流管道和非保守矩形薄板的稳定性问题进行了分析研究，具体有如下三方面的研究内容。

Firstly, in the frequency domain, differentiatial operator is decomposed into magnitude and phase operator, and the fractional order expressions of periodical signals, such as sine wave, cosine wave and complex exponent signal, are deduced.

首先，在频域中将微分算子分解为幅度算子和相们算子，导出正弦、余弦和复指数信号的分数阶微分表达式；然后考察矩形、三角形、梯形等常用周期信号的分数阶微分。

Let the obtained modality parameters be substituted into the coupling vibration partial differential equation and transform the complex partial differential equation into the variable coefficient nonlinear or...

把所得模态参数代入耦合振动偏微分方程中，将复杂的偏微分方程转化为变系数非线性常微分方程组，用Runge-Kutta方法获得方程的数值解。

By introducing random factors on differential equation, stochastic differential equation is formed.

微分方程反映了系统中的动态变化情况，在实际生产生活中得到了广泛的应用；微分方程的基础上引入随机因素，便形成了随机微分方程。

With the development of modern society, differential equations is widely used in engineering astronavigation, economy, financial etc.

在力学、物理学、生态学、生物学、经济学等多种应用技术中往往用时滞微分方程比常微分方程来刻划更符合实际。国内外学者也对时滞泛函微分方程的基本理论及定性理论进行了卓有成效的研究。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。