查询词典 implicit differential equation

Combined KdV equation; Generalized KdV equation; Reduction-order method; Auxiliary differential equation technique; Solitarywave solutions; Periodic solutions; Solitons; Algebraic travelling wave solutions; Physical structures

基础科学，数学，数学分析KdV-mKdV方程；广义KdV方程；降阶法；辅助微分方程；孤波解；周期解；孤子解；代数行波解；物理结构

By means of variable substitution, it is found that the differential equation of motion is a Bessel equation. Based on the equation, responses of elastic displacement, velocity, acceleration of skip and cable tension close to sheave were deduced.

通过变量代换，发现箕斗运动微分方程是可求解的Bessel方程，从而得到了装载过程中箕斗的弹性位移、速度、加速度和天轮处钢丝绳的张力的解析表达式。

In this paper, we invert the condition equation into a complete nonlinear partial differential equation, and study some properties of the solution of this equation from a theoretical point.

本文把其条件方程转化为一个非线性偏微分方程，从理论角度探讨了一下此方程的解的一些性质。

Many natural phenomena and physical laws can be described by time dependent nonlinear differential equations, such as heat conduction equation, sound wave and elastic wave equation, reaction diffusion and convection diffusion equation, fluid and aerodynamics equations, etc.

大多数的自然现象与物理规律都可归结为与时间相关的非线性偏微分方程，诸如热传导方程、声波与弹性波方程、反应扩散与对流扩散方程、流体与气体力学方程组等发展方程。

The modeling of GM (1,1) model is to gain difference equation by dispersing albinism differential equation, then to estimate model parameters by the difference equation.

GM(1，1)模型的建模过程是由白化微分方程离散化得到差分方程，再由该差分方程估计模型参数。

The main content of the study includes: the policy variables are classified into two types, which are continuous policy variable and discrete policy variable, and the two variable is analyzed respectively; as to the continuous policy variable, use reasonable weighting to synthesize comprehensive policy indicator to reflect the comprehensiveness of each main policy indicator; undertake regression analysis for the comprehensive policy indicator, economic and stock market variable and get the effect of all kinds of comprehensive policy indictor variables on the economy and stock market; undertake regression analysis for data on the economic indicator and the data on the stock market and get the relationship between the economy and the stock market; use event research method to analyze its effect on the stock market and get some corresponding conclusions; structure the differential or difference equation groups on the interactive relationship among the variable economy, stock market and policy and do the difference operation and constitute simultaneous equation with the original main variables one after another; use quantitative regression method and solve the coefficient of the simultaneous equation to predict the operating tendency.

本研究主要内容包括：将政策变量划分为连续性政策变量和离散政策变量两个类型，并分别进行分析；对于连续性政策变量，采取合理的权重来合成政策综合指标，反映各主要政策指标的综合力度大小；将各政策综合指标与经济、股市变量进行回归分析，获得各类政策综合指标变量对经济、股市影响程度的大小；将经济指标数据与股市数据进行回归分析，获得经济与股市之间关系的大小；采取事件研究方法来分析其对股市的影响程度；构建关于经济、股市与政策各主要变量之间互动关系的微分或差分方程组，进行差分运算，并以此与原来各主要变量组成联立方程；运用计量回归方法，求出联立方程系数用于预测。

The main contents of this course include: the construction, convergence, compatibility and stability of finite difference scheme of elliptic equation, parabolic equation and hyperbolic equation, the construction method and computation format of finite difference scheme of a system of partial differential equations.

本课程主要内容有：椭圆型方程的有限差分格式的构造，有限差分格式的收敛性，相容性及稳定性、抛物型方程的有限差分格式的构造，有限差分格式的收敛性，相容性及稳定性、双曲型方程的有限差分格式的构造，有限差分格式的收敛性，相容性及稳定性、偏微分方程组的有限差分格式的构造方法及有关的计算格式。

In this paper,a space fractional differential equation is considered.The equation is obtained from the advection-diffusion equation by replacing the second order derivative in space by a fractional derivative in space of order.

考虑空间分数阶微分方程(即在一个标准的扩散-对流方程中，用分数阶导数代替空间二阶导数)，给出了该分数阶微分方程的显式和隐式有限差分格式。

Based on the modem FEM with the dynamic substructure method, itd dynamic equation is established with almost no limits to DOFs of the system, in which the left side is the first approach of the nonlinear system and the right side is the excitation and coupling nonlinear pseudo forces. The modal analysis method is used to get the eigen solution to the reduced linear homogeneous dynamic differential equation. When the system is excited by the harmonic excitation at the right side of the equation, the nonlinear dynamic response can be calculated by the numerical method to give quantitative analysis.

基于近代有限元和子结构模态综合法的动力学建模方法，获得非线性系统动力学微分方程，其自由度几乎没有限制，对左端首次近似齐次方程进行模态分析，选取对响应有贡献的部分本征对，同样对右端激励和非线性伪力作模态变换，得到减缩后非线性系统耦合动力学微分方程。

Based on the partial differtial equation,the solution of an integro-differential equation in an infinite interval is expressed in terms of the solution of this kind of equation in a finite interval.

研究了跳扩散框架下采用障碍红利分配策略模型中的自由边界问题，利用偏微分方程理论将有界区间上积分-微分方程的解用无界区间上积分-微分方程的解表示，在此基础上得到了期望累积贴现红利函数及自由边界所满足的方程

Don't listen to their haver, nothing of that sort.

别听他们胡说八道，根本就没那回事。

But bank's shares trade below their book value, suggesting that investors are skeptical.

但是，银行股票以低于账面价值的价格交易，这一点反应了投资者的怀疑。