This paper obtains a new oscillation theorem of high-order differential equation with damping.
本文建立了具有阻尼项的高阶微分方程新的振动定理。
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。
As a special case, the third order differential equation is derived when both the premium and the claim size are exponential distributions.
在理赔量和保费量分别服从指数分布时给出了相关推导，得出了具体的三次微分方程。
The prize was awarded in 1815 to Sophie Germain, a celebrated woman mathematician, who derived the correct fourth-order differential equation.
该奖项在1815年颁发给个索菲。热尔曼，一位著名的女数学家，她推导出了正确的四阶差分方程。
In this paper, analogy method is used to discuss the global, asymptotical and stable zero solution of non-linear five-order differential equation.
应用类比法，给出了一类五阶非线性微分方程零解的全局渐近稳定的充分条件。
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。
This paper uses the monotone iterative technique to investigate the existence of the solutions of a class of boundary value problem for third-order differential equation.
构造了一对合适的上下解，利用单调迭代方法证明了模型的两个平衡点之间行波解的存在性，进一步丰富了单调方法的内容。
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 performs one-way wave decomposition for 3d wave equation, and 2 kinds of high approximation of up-going wave equation in low order differential equation system are derived.
对三维波动方程做单程波分解，给出了用低阶偏微分方程组逼近上行波方程的2种高阶近似表达式。
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。
In order to study the slip between rebar and concrete, the fundamental equations are analyzed and the 2nd order differential equation of the relation between bond stress and local slip are obtained.
为了求解钢筋与混凝土间滑移量，对黏结滑移基本方程进行了分析，导出了黏结应力-局部滑移相互关系的二阶微分方程。
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 model's order and parameters are estimated from the differential equation directly without iterations.
该方法无须迭代即可直接从微分方程辨识出模型阶次和参数。
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。
This paper proposes a new method of solving the high order linear partial differential equation by means of Walsh Series.
本文提出了用沃尔什级数求解高阶线性偏微分方程的一种新方法。
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。
This paper studies a class of singularly perturbed two order integral differential equation boundary value problem with mixed boundary conditions.
研究了一类具有混合边界条件的奇摄动二阶积分微分方程边值问题。
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。
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。
The oscillation and asymptotic behaviors of three order nonlinear functional differential equation with impulses are investigated, and some sufficient conditions are obtained.
研究了三阶非线性脉冲时滞微分方程解的振动性与渐近性，得到了一些充分判据。
Som criteria on the asymptotic behavior (such as boundness, tending to zero) of solutions for a kind of third order delay functional differential equation are established.
本文讨论一类三阶时滞泛函微分方程解的渐近性质，给出了若干解的有界性及解趋于零的判定准则。
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。
This is a six-order delayed differential equation.
这个模型是一个六阶时滞微分方程。
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。
A condition of a one-order quasilinear partial differential equation of a traffic model forming unique shock wave is given end proved.
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。
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