The sum formulas of several kinds of ordinary series with function term are deduced by using the method of solving linear differential equation.
本文试应用求解一阶线性微分方程的方法导出几类常见的函数项级数的求和公式。
Using the theory for differential equation stability, this paper investigates a struggle relationship between two traffic modes in city traffic volume , and shows they suit Gause' s model.
本文利用微分方程稳定性理论，研究了城市交通容量中两种交通方式的竞争关系，它们适合于根舍模型；
The Dynamic Asset Share Pricing Theoretical Models are set up according to modern finance theory using Backward Stochastic Differential Equation Theory.
运用倒向随机微分方程数学方法，建立了动态资产份额定价理论模型。
When optimizing synchro update of the quaternion, the quaternion differential equation is calculated by using minimum parametric method.
采用最小参数法求解四元数微分方程，优化了四元数实时更新算法。
Using the distribution parameter method, established a differential equation, and made its discrete solutions.
方法采用分布参数法建立微分方程，并进行离散求解。
Using the differential motion equation in fluid mechanics, this paper developed the flow models of the laminar flow of Bingham's fluid in an inclined eccentric annulus.
本文应用流体力学中的运动微分方程，建立了宾汉流体在倾斜偏心环空中的层流流动模型。
In this chapter, existence of analytic solutions of an iterative differential equation with state-dependent delays is studied by using a similar method.
本章同样使用优级数法讨论一类带时滞的迭代微分方程解析解的存在性。
In this paper a new method of modeling forecasting is given for the time series by using the numerical solution of differential equation.
本文利用微分方程的数值解法对时间序列建模预测作了新的尝试。
Using the method of simulated shell, non-linear dynamic differential equation of three-dimensional single-layer shallow lattice shell with equilateral triangle mesh is established.
用拟壳法建立了正三角形网格的三向扁锥面单层网壳的非线性动力学微分方程。
The dynamical stability of the LLG equation of the Stoner particles is analyzed by using the linear stability criteria of differential equations.
利用微分方程线性稳定性判据，分析了斯通纳粒子LLG方程的动力学性质。
A power-like equation, a Virial-like theorem, an integral variational principle and a differential variational principle for the system are deduced by using the time-integral identity.
给出系统的时间积分等式，并由此等式导出类能量方程、类维里定理、一个积分变分原理和一个微分变分原理。
The static equilibrium differential equation of the casting zones and rolling zones during roll casting process is deduced respectively using slab method.
利用切块法分别推导出了铸轧过程上述两区的静力平衡微分方程。
We analyse the common radial and time Schrdinger equation using finite differential approach, get dispersion equations of two kinds of Schrdinger equation by finite differential approach.
对普通的径向薛定谔方程和含时的薛定谔方程进行了有限差分法的分析，给出了两种薛定谔方程的有限差分法的离散方程。
Many of the exact solutions of (3 + 1) dimensional breaking soliton equation are obtained by using a simple transformation relation and solving the ordinary differential equation.
首先通过变换关系和求解简单的常微分方程，得到了(3 +1)维破裂孤子方程丰富的孤立波解和周期波解。
At the same time, using the inverse transformation of Laplace to find the solution of differential equation.
同样，用拉氏逆变换，可求出微分方程的解。
System stability is prone to be guaranteed by using the proposed control method due to the fact that the modal control law is designed directly from time-delay differential equation.
由于模态控制律直接通过时滞微分方程而得出，因此所给控制方法易于保证控制系统的稳定性。
Differential equation of motion control of the cracked beam is set up using this model, so that the same analytical methods are applied as crack-free structure for the cracked.
用此模型建立裂纹梁运动控制微分方程，这样，对于含裂纹结构可采用与无裂纹时同样的分析方法。
The dissertation also presents the ways of estimation and test of co-persistence relationship and compares two type of models by using the ways of stochastic differential equation.
论文还从随机微分方程的角度比较和分析了两类波动模型之间存在的相互关系。
Using the normal solutions of the governing differential equation, the general solution of a bending beam is obtained.
借助控制微分方程的标准基本解答组，获得梁弯曲问题初参数形式的通解。
The pressure drop pulsation is analyzed by using a lumped parameter nonlinear model. The results show that the pressure drop type instability can be described by a second-order differential equation.
使用集总参数非线型模型来分析蒸发管中汽液两相流压力降型脉动，结果表明：压力降型不稳定性可以用二阶常微分方程来描述。
The periodic wave solutions of the generalized CH equation are investigated by using bifurcation theory of differential equations and numerical simulations.
用微分方程分支理论和计算机数值模拟方法研究广义CH方程的周期波解。
It is shown that background porosity reduces internal pressure fluctuation and this effect can be predicted accurately by using the governing differential equation deduced in this paper.
研究结果表明本文推导的方程能准确的预测背景孔隙对风致内压响应的影响，能为工程抗风设计提供有效的理论依据。
Using method of qualitative theory of ordinary differential equation, studies economic harvesting model with variable price and cost for a single population.
利用常微分方程定性理论的方法讨论了价格成本变化的单种群经济捕获模型。
Using it we can conveniently and simply convert a ME into its corresponding differential equation and from solution of which we can extract the reduced density operator.
该方法能方便、简洁地将密度主方程转化为对应的普通微分方程，并能从微分方程的解中提取出约化密度算符。
In this paper a new method of modeling forecasting is given for the time series by using the numerical solution of differential equation. A practical example is also given.
本文利用微分方程的数值解法对时间序列建模预测作了新的尝试。文中用实例给以说明。
Using this method, the differential equation will be developed into a series of algebraic equations. and they are ea…
用这种方法，微分方程将变为一组代数方程．它们很容易求解。最后给出了一数值例子。
This paper, using the method of differential equation, proves some characters properties of basic elementary function, and then concludes an equivalent representation about basic elementary function.
运用微积分的方法，对基本初等函数的若干特征性质进行了证明。从而给出了基本初等函数的等价表征。
And by using the property of derivatives of energy norms, the eigenproblem is transformed safely into a specific initial value problem of an ordinary differential equation.
利用能量范数的导数的性质，将超越特征值问题转化为常微分方程的初值问题。
And by using the property of derivatives of energy norms, the eigenproblem is transformed safely into a specific initial value problem of an ordinary differential equation.
利用能量范数的导数的性质，将超越特征值问题转化为常微分方程的初值问题。
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