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 cylindrical helical coordinates, generalized magnetohydrodynamic (MHD) equations are reduced to four first order differential equations.
应用全微积分方程的充要条件给出了求一阶微分方程积分困于较为一般的方法。
It is shown that the common method of integrating factor of differential equation of first order is given.
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。
Separable variables are a special class of first order differential equations, which has a wide range of USES in practice.
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。
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.
本文研究了两类具体含逐段常变量微分方程的伪概周期解的存在性问题和一类一阶微分方程组的数值解。
In this paper, the existences of almost periodic solutions and pseudo almost periodic solutions for several classes of functional differential equations are investigated.
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。
The sum formulas of several kinds of ordinary series with function term are deduced by using the method of solving linear differential equation.
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。
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.
采用了压缩性的坐标变换后，推导得到了五个一阶导数的微分方程组。
Using a compressibility coordinate transformation, a set of the first derivative differential equations has been derived.
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。
In part II, by the same way, we consider first-order impulsive differential equations with integral boundary value problems.
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。
The statistical average values of some relevant operators satisfy a set of differential equations of the first order.
传输线可以看作集中参数二端口网络的级联，其数学模型—电报方程是一阶双曲型偏微分方程组。
Telegraph equations, can be looked as cascade connection of two-port network of lumped circuit of transmission line, is a hyperbolic partial differential equations.
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。
Objective to investigate characters of the solution to first order impulsive differential equations with piecewise constant arguments.
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。
This paper deals with the oscillation of the first order nonlinear neutral type functional differential equation, and obtains sufficient criterion of the equation oscillation.
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 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.
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。
Essentially, the opposite reaction kinetics process is a process of resolving the first order ordinary differential equation.
本文讨论了一交通模型的一阶拟线性偏微分方程激波产生唯一性的条件并给了严格的证明。
A condition of a one-order quasilinear partial differential equation of a traffic model forming unique shock wave is given end proved.
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。
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 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.
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。
Proposed a new form of non-linear first-order ordinary differential equation, meanwhile, it shows the parameter form of universal solution.
这组算子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。
And the evolution of the statistical average values of the set of operators with time satisfy a group of one-order linearly differential equations.
针对该微分方程的非线性特点，采用一阶谐波平衡法，进行了动力响应的计算分析。
The harmonic balance method(HBM)was employed to solve the forced response of damped blades considering nonlinear feature of differential equations.
本文主要用首次积分法构造一阶拟线性偏微分方程始值问题的解。
The fist integration is mainly used tO form the initial value solution of fist order quasi-linear partial differential equation.
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。
The CAI teaching of a first-order ordinary differential equation is discussed with computer MATLAB software, and its feasibility and convenience is introduced.
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.
利用锥上的不动点定理讨论了一阶脉冲微分方程周期边值问题的正解的存在性。
By using the fixed point theorem on cone, this paper studies the existence of positive solutions for first order periodic boundary value problem with impulses.
讨论了一阶迭代微分方程解析解的存在性，通过构造一个辅助方程的幂级数解给出该方程的解析解。
By constructing a convergent power series solution of an auxiliary equation, analytic solutions for the original equation are obtained.
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.
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。
Section I describes the numerical solution of first order matrix linear differential equation using the cubic matrix spline function and quartic matrix spline function.
第二节介绍用三次矩阵样条函数方法逼近一阶矩阵非线性微分方程的数值解。
Section II describes the numerical solution of first-order matrix differential non-linear equation using the cubic matrix spline function.
第二节介绍用三次矩阵样条函数方法逼近一阶矩阵非线性微分方程的数值解。
Section II describes the numerical solution of first-order matrix differential non-linear equation using the cubic matrix spline function.
应用推荐