The result shows that it is effective for solving ordinary differential equation with variable coefficients.

结果表明，该方法对于求解各类变系数常微分方程是十分有效的。

This paper proves that the quasilinearization method for parameter estimation of ordinary differential equation in chemical reaction kinetics essentially belongs to the region of Gauss-Newton method.

本文通过理论推导，证明在反应动力学常微分方程参数估值中所采用的拟线性化法在本质上仍然属于高斯—牛顿法的范畴。

In this paper based upon the knowledge of ordinary differential equation and its stability theory, we study the solutions of Dirac equation.

本文主要利用常微分方程的基本理论及其定性理论，采用打靶法研究狄拉克方程解的存在性问题。

When energy equation for element was built, variational method was used to get ordinary differential equation.

在建立单元的能量方程后，对方程进行变分得到墙元的常微分方程。

A non-linear ordinary differential equation involving topographic forcing and zonal shear basic flow is derived using phase angle function with semi-geostropical approximation.

在半地转近似下，用相角函数方法得到了含地形强迫作用与纬向切变基流的非线性常微分方程。

This paper discusses a class of biochemical reaction system with doubly saturated reaction speed by using the method of qualitative theory of ordinary differential equation.

利用常微分方程定性理论的方法，讨论了一类具有二重饱和反应速度的生化反应模型。

From then on plenty of work had been done to research the periodic solution and stability of ordinary differential equation.

此后大量的工作研究常微分方程的周期解、稳定性，这在一定程度上解释了种群的共存、灭绝、持续生存。

This paper applies an ordinary differential equation (ODE) solver of interpolating matrix method to calculate large deflection of thin circular plate with varible thickness.

文章用插值矩阵法的常微分方程求解器求解变厚度圆薄板大挠度弯曲问题，提出了对一般方程正则奇点的处理途径。

The CAI teaching of a first-order ordinary differential equation is discussed with computer MATLAB software, and its feasibility and convenience is introduced.

利用MATLAB进行一阶常微分方程的计算机辅助教学，探讨用MATLAB进行一阶常微分方程辅助教学的可行性、方便性。

By the Kantorovich approximation method with generalized beam functions, an ordinary differential equation and the boundary conditions for plate vibrations are derived.

然后在王磊教授工作的基础上再次采用康托洛维奇能量近似法结合广义梁函数，导得板振动的一个常微分方程及边界条件。

This course consists of several major parts such as ordinary differential equation vectors and analytic geometry derivatives integration and series.

课程内容包括常微分方程、空间解析几何与向量代数、多元函数微分学、多元函数积分学和无穷级数等几大板块。

Solving process of monotonic iteration to the initial value question of non-continuous ordinary differential equation of the first order is discussed, the known results are generalized.

讨论一阶非连续常微分方程初值问题的单调迭代求解，推广了已知结果。

Among ordinary differential equation equations, differential inequality is a useful tool which helps research on properties of equation-solving.

在常微分方程论中，微分不等式是研究方程解的各种属性的有用工具。

The ordinary differential equation of round laminar jet of power-law fluid is derived, and the solution of this equation by numerical integration is obtained.

用层流边界层方程，导出幂律流体轴对称层流自由射流的常微分方程，并给出其方程的数值解。

The conditions of three elementary static bifurcations as saddle-node, transcritical, and pitchfork types of bifurcations for a one-dimensional ordinary differential equation are formulated.

推导出一维非线性微分动力系统发生鞍结分岔、跨临界分岔和叉形分岔三种基本平衡点分岔的条件。

The series solutions of the linear ordinary differential equation at singular point were studied via the infinite order matrix of the linear differential operator in power series basis.

应用线性微分算子在幂基下的无限阶矩阵，研究线性微分方程在奇点处的级数解。

By using qualitative classical theory of ordinary differential equation, a class of planar quintic polynomial differential system is qualitatively analyzed.

采用常微分方程定性理论的经典方法，对一类平面五次多项式系统进行定性分析。

A second_order nonlinear ordinary differential equation that describes the radial motion of the inner surface of the shell was obtained. And the first integral of the equation was then carried out.

得到了描述球壳内表面运动的二阶非线性常微分方程，并给出了方程的首次积分。

Method of leading variables is method of solving linear ordinary differential equation of first order.

常数变易法是作为求解一阶线性方程的解法给出的。

Using variable size array instead fixed array can save EMS memory and acceleration the calculate speed. COLSYS has been choosed to be a ordinary differential equation solver in the program.

程序选用COLSYS为常微分方程求解器，继承并发展了前人的成果，因此程序同样能计算稳态问题。

In this approach we have the freedom in the choice of step size during the integration of the ordinary differential equation.

在这种方法中，我们可以在对常微分方程进行积分的过程中自由选择步长。

The buckling equation of pipe string in horizontal boreholes is a fourth non-linear ordinary differential equation with a small parameter.

管柱在水平井眼中的屈曲方程是一个含有小参数的四阶非线性常微分方程。

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。

An annular model for chemostat was depicted by a group of ODE(ordinary differential equation) to imitate the ecosystem which included competition and predator-prey relations in nature.

为模拟自然界中既包含竞争关系又包含捕食-被捕食关系的生态系统，建立用常微分方程组表示的环状模型。

Some simple application of method of integrating factor that solve ordinary differential equation is discussed on the limit theory, differential and integral.

讨论了解常微分方程的积分因子法在极限理论、微分学、积分学中的一些应用。