In unsolved derivative first-order differential equations, this paper is based on Lagrange equation and Clairaut equation, and popularizes them.
另一种是在未解出导数的一阶方程中，在拉格朗日方程、克策洛方程解法的基础上更加广泛的推广。
From the theory of conical shells, a set of the first-order differential equations for the shells of revolution are derived. The discrete-variable method is used to solve the differential equations.
从锥壳理论出发，导出计算旋转壳自由振动的一阶微分方程组，采用离散变量法进行求解。
The main contents of first chapter are several difference schemes of first-order and second-order differential equations.
第一章有限差分方法主要内容是一阶和二阶的两点式、三点式和五点式差分方案。
Following the theory on characteristics of first order quasi-linear partial differential equations, classification of the balance equations for two-phase flow in interior ballistics is discussed.
根据一阶拟线性偏微分方程组的特征理论，讨论内弹道两相流方程组的类型。
In this paper, by estimates of spectral of an integral operator, the authors give a theorem on the existence of solutions for first order differential difference equations with boundary condition.
摘要通过对积分算子谱的估计，作者给出了一阶线性微分差分方程在边值条件下解的存在唯一性定理。
In part II, by the same way, we consider first-order impulsive differential equations with integral boundary value problems.
在第二部分中，同样的方法，我们讨论了一阶脉冲微分方程积分边值问题。
Separable variables are a special class of first order differential equations, which has a wide range of USES in practice.
可分离变量的一阶微分方程是一类特殊的一阶微分方程，它在实际中有着广泛的用途。
The statistical average values of some relevant operators satisfy a set of differential equations of the first order.
有关算符的统计平均值随时间的演化满足一个封闭的一阶线性微分方程组。
Objective to investigate characters of the solution to first order impulsive differential equations with piecewise constant arguments.
目的研究一阶具有分段常数变量的脉冲微分方程的解的性质。
The monition equations of airfoil are written as the four dimensional first order differential equations. Taking airspeed and the linear part of pitching stiffness as the bifurcation parameters.
机翼的运动方程可以写成四维一阶常微分方程，取广义气流速度和线性俯仰刚度作为分岔参数。
In this paper, we have studied the oscillation of the first order neutral functional differential equations with delay and advanced argument, obtained, some sufficient conditions extended and impoved.
本文研究了既有滞后量又有超前量的一阶中立型常系数微分方程的振动性，得到了其振动的几个充分条件。
The study is made on the oscillation of a class of the first order nonlinear retarded differential equations with variable coefficients, and the sufficient conditions are obtained.
本文研究了一类一阶变系数非线性滞后型微分方程解的振动性，得到这类方程仅有振动解的充分条件。
This paper has found general integral formulas of some types of two - order nonlinear ordinary differential equations by first integral.
本文对几类二阶非线性常微分方程，利用首次积分求得了其通积分公式。
Some sufficient conditions are obtained for the oscillation of first order neutral differential-difference equations with positive and negative periodic coefficients.
本文获得了一阶正负周期系数的中立型微分差分方程振动的充分条件。
In cylindrical helical coordinates, generalized magnetohydrodynamic (MHD) equations are reduced to four first order differential equations.
采用柱螺旋坐标系，把广义磁流体力学方程组简化为四元一阶微分方程组。
In this paper, by estimates of spectral of an integral operator, the authors give a theorem on the existence of solutions for first order differential difference equations with boundary condition.
通过对积分算子谱的估计，作者给出了一阶线性微分差分方程在边值条件下解的存在唯一性定理。
Using the contraction mapping principle, we proved a theorem about the existence of solution for initial value problem of a class of implicit ordinary differential equations of the first order.
本文应用压缩映象原理证明了一阶隐式微分方程解的存在唯一性定理。
The numerical solution of chromosome-function was applied for a lot of first order differential equations for the chamber on the projectile in bore of a gun.
利用染色函数解法求解膛内弹上气室气流的一阶非线性分段微分方程组，进行了大量的数值试验，证实数值解是收敛的，也是稳定的。
We discuss the first order linear differential equations with constant coefficients and give a new vector method of it.
讨论一阶常系数线性微分方程组通解问题，给出一种新的向量解法。
We discuss the first order linear differential equations with constant coefficients and give a new vector method of it.
讨论一阶常系数线性微分方程组通解问题，给出一种新的向量解法。
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