查询词典 characteristic differential equation

Throush the interlace series type linear differential equation,coefficient containing three negative number of times,power function and arrangement number can be changed into the linear differential equation of successive integral.

通过把系数含有负三次幂函数与排列数的交错级数型线性微分方程化为可逐次积分的线性微分方程，找出了求这类方程通解的方法与理论，把所得定理给出了严格的证明，并将其推广，同时通过实例介绍了它的应用。

Conservation of mass.conservation of moment muni and conservation of energy are basic regularity obeyed by all movement in nature.For a certain problem in natrue .if we quantify the corresponding conversation law . we can deduce partial differential equation reflecting this problem .and every differential equation reflecting a special physical phenomenon on certain codition.

质量守恒、动量守恒和能量守恒是自然界一切运动所遵循的基本规律，对于自然界的某一特定问题，如果把相应的守恒律数量化，就导出刻划这个问题的微分方程，每一个微分方程都在一定条件下刻划了某一特定的物理现象。

The singular differential equation has developed on the basis of nonlinear functional analysis, because it can explain a lot of natural phenomenal, more and more mathematicans are devoting their times to the study of sigular differential equation.

以非线性泛函分析为基础而发展起来的奇异微分方程理论因其能很好的解释自然界中的各种各样的自然现象而倍受关注。

Of the fundamental matrix in (2) satisfies the differential equation =A , it follows that the matrix = itself satisfies the matrix differential equation Because its column vectors are linearly independent, it also follows that the fundamental matrix is nonsingular, and therefore has inverse matrix .

基本矩阵的求解由于（2）中的基本矩阵的列向量满足微分方程A，进而这个矩阵本身就满足矩阵微分方程。

A important result is the one-order expression of AR Yt = DYt-1 + E, from paralleling a high-order differential equation transformation into a one-order differential equation system, the one-order expression exposes that the AR is only a certain more-multivariable power series processAnd, if a process is described as an AR, the sufficient and necessary condition is the spectrum norm A of the coefficient matrix D less than one.

作者用高阶微分方程化一阶微分方程组的方法，获得多元弱平稳序列p阶自回归模型的一步滑动平均表达式，证明了AR的是一个更高维的幂级数的线性过程，从而，说明了AR关于序列依概率成立的充要条件是：该模型更高维的幂级数的线性过程的表达式中系数矩阵D的谱范数λ＜1。

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 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。

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。

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。

By using Galerkin's method the partial differential equation is reduced ordinary differential equation with quadratic nonlinearity.

对于非线性运动方程，我们引入了外加强迫力和阻尼对系统的摄动，借助Galerkin方法从非线性偏微分方程得到了含二次非线性的常微分方程。

Now she was hungry and angry.She began to smoulder.

现在她又饿又气，她开始流露难以抑制的怒火。

You have placed our iniquities before You, Our secret sins in the light of Your presence.

诗90：8 你将我们的罪孽摆在你面前、将我们的隐恶摆在你面光之中。