微分方程

绝大多数非线性微分方程是不能用解析方法求解的。

The overwhelming majority of nonlinear differential equations are not soluble analytically .

最后指出了多重网格方法与微分方程数值解的小波方法的区别。

Finally the difference between multigrid methods and wavelet methods for the solution of partial differential equations was pointed out .

变系数n次一阶常微分方程解的稳定性

The Stability of First Constant Differential Equation with Variable Coefficient

区间值函数和Fuzzy值函数常微分方程解的存在区间及解的延拓性

Existence Interval and Continuation of Solution of Ordinary Differential Equations for Interval Valued Functions and Fuzzy Valued Functions

这个方法在原则上也可以推广到n阶线性微分方程。

In principle , this method may also be applied to a linear differential equation of nth order .

研究了一类非线性常微分方程的非平凡解及其死核问题，证明了在参数p的某些取值范围内，该问题存在非平凡解且具有死核；

The existence of a nontrivial solution and its dead core problem for a class of nonlinear ordinary differential equations are studied .

通过这些分析，进一步得到了与F分布密度曲线相关的微分方程。

Then gains the differential equations about F distributed density curve by above analyses .

TCP拥塞控制及其流量微分方程模型研究

TCP Congestion Control and Flow Control Stochastic Differential Equation

用EXCEL解二阶常微分方程

Solving Second-Order Ordinary Differential Equations by Microsoft Excel

常微分方程数值求解的FFT方法

The Method to Solve Normal Differential Equations by FFT

离散倒向随机微分方程的改进Euler算法

The Discrete Backward Stochastic Differential Equations with Improved Euler Method

关于常微分方程Hopf分支点的一种数值计算方法

A Numerical Method for Hopf Bifurcation Point in Ordinary Differential Equations

指数矩阵e~（tA）表示一阶微分方程组的解

Exponential Matrix e ￣( tA ) Showing the Solution of Differential Equations of the First-order

非定常人口发展过程的积分-偏微分方程组的H~（3/2）（Q）-解

H ~ ( 3 / 2 )( q ) - solution of system of integro-differential equations for nonstationary population evolution process

应深入理解GM（1.1）模型，灰微分方程，灰微分型方程，影子方程的内涵；

We should also have a better understanding of grey differential equation , grey differential model equation and shadow equation ;

Hilbert空间中的二阶微分方程问题

Second-order Differential Equations in Hilbert Space

Galerkin方法是基于变分原理基础上的一种把微分方程或积分方程转化为等价的变分方程，通过离散变分方程求原方程数值解的方法。

Galerkin method based on the variation principle is used to solve differential and integral equations .

单轮防抱死制动系统（ABS）可由二维分段非线性微分方程描述。

An antilock braking system ( ABS ) with single wheel can be described by two dimension piecewise nonlinear differential equations .

关于数值求解常微分方程的二阶导数方法的最高可达阶及其Stiff稳定性

On the Attainable Highest Order and Stiffly Stability of Second Derivative Methods for Numerical Solution of Ordinary Differential Equations

接着，重点描述了一种根据偏微分方程曲面造型的特点，利用PDE方法进行散乱数据曲面重构的方法。

Then the author describes an algorithm of surface reconstruction based on the PDE method .

研究了一类可化为Euler方程的变系数线性微分方程组。

In this paper we study a system of variable coefficient differential equations which can be transformed into Euler equation .

用常微分方程模型分析预防和隔离措施对SARS发病率的影响

Analyzing the Measures of the Precaution and Segregation to Effect the Incidence of the SARS by the Model of the Differential Equations

利用Green函数来求特解形式，把原来的二阶微分方程简化成一次积分形式，再由复化梯形公式求积法进行数值求解。

First we apply Green 's functions in special solution , simplifying the second order problems to the first order integral formulation , then we deal with its numerical solution by the compound trapezoidal formula .

利用Lagrange方程，建立了斜拉管线桥体系在竖向地震作用下的运动微分方程。

Making use of Lagrange 's equations , the differential equations of motion of the cable - stayed pipe bridge system are established .

利用能量法和耗散系统的Lagrange方程推导了系统的运动微分方程，阐述了求解方法。

Using the energy method and the Lagrange equation for exhausted system , a set of the control equations is derived and solved .

利用微分方程在无限小变换下的不变性条件，研究奇异Lagrange系统的Lie对称性与守恒量。

The invariance of the ordinary differential equations under the infinitesimal transformations was used to study the Lie symmetries and conserved quantities for the singular Lagrange system .

通过分离变量函数法，用Galerkin法得到了一个含二次、三次的非线性微分方程。

Through the separating variables function method , a quadric and cubic non-linear differential equation was obtained by using the Galerkin method .

利用Galerkin方法将方程简化为非线性常微分方程，并进行了数值计算；考察了几个参数的影响。

The motion equation is derived as a nonlinear integro-partial-differential equation and simplified to a nonlinear integro-differential equation using the Galerkin method .

作战微分方程模型的Noether对称性

Noether symmetry of differential equation models in warfare

通过分析V型切口尖端附近应力场，建立了问题的微分方程，提出了解决该微分方程的可行方法。

The differential equations of stress and displacement near the tip of V notch are obtained after the stress field being analyzed and a feasible solution of those equations is presented , also .