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 only thing they have in common is that both are what's called a first order differential operator.
它们唯一共同之处就是,它们都被叫作一阶微分算子。
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。
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。
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。
Section I describes the numerical solution of first order matrix linear differential equation using the cubic matrix spline function and quartic matrix spline function.
第一节介绍了三次矩阵样条函数方法和四次矩阵样条函数方法逼近一阶矩阵线性微分方程的数值解。
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。
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。
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。
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。
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。
This paper deals with the oscillation of the first order nonlinear neutral type functional differential equation, and obtains sufficient criterion of the equation oscillation.
本文研究一阶非线性中立型泛函微分方程的振动性。得到了该方程振动的充分性判别法则。
Essentially, the opposite reaction kinetics process is a process of resolving the first order ordinary differential equation.
对峙反应动力学过程，其实质是一个求解一阶常微分方程的过程。
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。
The motion of plunger of oleo damper excited by colored Gaussian noise with exponential correlation time is governed by first order nonlinear differential equation.
油液阻尼器受指数型高斯色噪声外激励时，活塞在油腔内的运动可用一阶非线性动力学方程描述。
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 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。
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。
In this paper, by using the fixed point index method, the authors discussed the periodic boundary value problem of first order differential systems.
摘要利用锥上的不动点指数研究了一阶非线性常微分方程组的周期边值问题。
In this paper, by using the fixed point index method, the authors discussed the periodic boundary value problem of first order differential systems.
利用锥上的不动点指数研究了一阶非线性常微分方程组的周期边值问题。
Proposed a new form of non-linear first-order ordinary differential equation, meanwhile, it shows the parameter form of universal solution.
提出一阶非线性常微分方程新的可积型，且给出其通解的参数形式。
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。
A double wavelength-differential-first order derivative spectrophotometric assay was established to determine carbon monoxide (CO) generation during in vitro metabolism of xenobiotics.
用双波长、差示、一阶导数分光光度法，建立了一种测定外源物体外代谢时一氧化碳(CO)生成量的新方法。
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。
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。
Based on the theory of differential geometry and geodesy, the second order differential equation and the first differential relationship are derived on the regional earth ellipsoid in this paper.
通过在积分换元、微分方程求解、多（一）元复合函数求全微分、偏导数及高阶偏导数中的应用举例，论述了一阶微分的形式不变性在微积分学中的作用不应被忽略。
The paper has used concise methods of logical analysis and reasoning to describe the relation between the first-order quasilinear partial differential equation and its system of characteristic...
对一阶拟线性偏微分方程与其特征方程组的关系，文中给出了简洁的逻辑分析和推导方法。
The paper has used concise methods of logical analysis and reasoning to describe the relation between the first-order quasilinear partial differential equation and its system of characteristic...
对一阶拟线性偏微分方程与其特征方程组的关系，文中给出了简洁的逻辑分析和推导方法。
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