An important case is the linear homogeneous second-order differential equation with constant coefficients.
一种重要的情形是常系数二阶线性齐次微分方程。
The existence and uniqueness about semilinear second-order differential equation are established by using global inverse function theorems.
本文利用整体反函数理论，研究了半线性二阶微分方程周期边值问题，给出了周期解存在唯一性的充分条件。
The driveline for a tractor vehicle is simplified as a 2-DOFs(degree of freedom)torsional vibration system, and is described as a second-order differential equation.
将牵引车的传动系简化为一个2自由度的扭转振动系统，并以二阶微分方程描述。
The pressure drop pulsation is analyzed by using a lumped parameter nonlinear model. The results show that the pressure drop type instability can be described by a second-order differential equation.
使用集总参数非线型模型来分析蒸发管中汽液两相流压力降型脉动，结果表明：压力降型不稳定性可以用二阶常微分方程来描述。
The oscillation for solutions of the class of the second order strongly sublinear differential equation are discussed and three new oscillation theorems are obtained.
讨论了一类二阶强次线性微分方程解的振动性质，获得了三个新的振动性定理，推广和改进了相关文献的结果。
Consider the distributed parameter system described by the second order partial differential equation of composed type, we discuss its a boundary optimal control problem with quadratic performance.
考虑用二阶复合型偏微分方程所描述的分布参数系统，研究了它的一个使平方性能指标达到最小值的边界最优控制问题。
It is also a sufficient condition for second order linear differential equation with varied coefficient to be integrable.
对于二阶变系数线性微分方程来说，这也是可积的一个充分条件。
The two conditions of the second order nonlinear differential equation with variable coefficient are given and expounded with examples.
对二阶变系数非线性微分方程的常系数化给出两个使其可积的条件，并举例论证。
Established a linearized oscillation result of the second order nonlinear neutral delay differential equation with positive and negative coefficients.
建立了二阶具正负系数的非线性中立型微分方程的一个线性化振动性结果。
The aim of the dissertation is to study second order derivatives based differential equation approaches to nonconvex constrained optimization problems.
本文旨在研究求解非凸约束优化问题的基于二阶导数的微分方程方法。
In this paper, the second order fully discrete difference method for a partial integro-differential equation is considered.
本文给出了数值求解一类偏积分微分方程的二阶全离散差分格式。
Oscillation of a kind of second order nonlinear differential impulsive equation(The equation is abbreviated), is studied and some sufficient conditions are obtained.
用黎卡堤变换研究如下二阶非线性脉冲微分方程（ 方程式略）得到了两个判断方程振动的充分条件。
For the latter, since we transform the problem to seek to solve the second order differential equation into that of twice integrations, the calculating process is also simple.
后者由于把一个二阶微分方程的求解转化成为两次积分问题，也使计算过程简化。
This paper is concerned with oscillation property of solutions of a class of second-order nonlinear differential equation with perturbation.
研究了一类二阶非线性摄动微分方程解的振动性质。
The governing equation of the temperature field of pulse - magnetron is a nonlinear second order partial differential equation .
磁控管的温度分布是二阶非线性偏微分方程。
Two-point boundary value problems of second order mixed type integro-differential-difference equation is studied by means of differential inequality theories.
基于时滞微分不等式的方法，提出此网络在平衡点的渐近指数稳定的充分条件。
Two-point boundary value problems of second order Hammerstein type integro-differential-difference equation is studied by means of differential inequality theories.
基于时滞微分不等式的方法，提出此网络在平衡点的渐近指数稳定的充分条件。
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。
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。
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