[数] 微分方程
For example, the solution of a differential equation is a function.
例如，这个解决方案的微分方程是一个功能。
So you can write down immediately the solution to this differential equation.
因此可以马上写下,这个微分方程的,解法。
The basic thought of the methods is that control differential equation is approached by the function satisfied whole boundary condition in definitional domain.
这些方法的基本思想是用完全（或局部）满足定义域上边界条件的函数去逼近问题控制微分方程。
The relation between load and displacement is deduced by approximately differential equation of flexural curve and the error resulted from this estimation is given out.
应用挠曲线近似微分方程，推导了线切割结构的载荷与位移关系，并给出了由于微分近似导致的误差。
In this approach we have the ******* in the choice of step size during the integration of the ordinary differential equation.
在这种方法中，我们可以在对常微分方程进行积分的过程中自由选择步长。
The center focus decision problem is an important part of the differential equation theory.
中心焦点判定是微分方程定性理论的重要组成部分之一。
It is well known that for functional differential equation with finite delay, its phase space always structured by continuous function together with supremum norm.
众所周知，对于有限时滞的泛函微分方程，其相空间几乎都是采用连续函数加上确界模所构成的空间；
This algorithm avoids soling differential equation frequently as well as redundant orbit, and it is easy to control the accuracy and to get the picture of manifold.
该算法避免了频繁求解微分方程问题，没有求解多余的轨道，且求解的精度也容易控制，得到的流形图直观。
Methods Build up differential equation under the circumstance of the market no arbitrage. Analyze and work out the solution of equation.
方法在市场无套利条件下建立随机微分方程，运用鞅论、随机分析的方法分析并求解方程。
The differential model not has model error. Solving the differential equation has rounding error.
微分模型没有模型误差，微分方程的求解存在舍入误差。
By substituting the principle of current continuity with charge conservation, the differential equation of charge accumulation model is built.
该理论以电荷守恒原理代替电流连续性原理，建立了电荷累积模型的微分方程。
First, we get the small noise asymptotic results for stochastic differential equation with jumps.
首先，我们得到了带跳的随机微分方程的小噪音渐近结果。
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。
A partial differential equation on momentum thickness is derived from unsteady mass and momentum conservation equations in integrating form on boundary layer of the tube.
它是通过在膛壁边界层建立非稳质量守恒和动量守恒方程的积分式，而获得有关动量厚度的偏微分方程；
Based on the method of solving heat balance differential equation, a novel over-load protection criterion for electric motor is presented in the paper considering the heat accumulation of motor.
以热保护为研究对象，充分考虑了电机的热积累现象，通过求解热平衡微分方程的方法，给出了新的电动机过载保护判据。
The differential equation of the network is solved by solving a ****** one dimensional differential equation.
通过求解简单的一维微分方程求出了网络的解的解析表达式。
It is detailed derived from theory analysis to differential equation, and its damping matrix, rigidity matrix and quality matrix are given.
从理论分析到微分方程的建立做了详细的推导，并写出了刚度矩阵、阻尼矩阵和质量矩阵。
But this partial differential equation can not be directly integral, so usually use Navier method, Rayleigh Ritz method and finite difference method and other methods.
但这一偏微分方程不能直接积分，所以通常用纳维法、瑞利-里兹法、有限差分方法等方法求解。
Uncertain differential equation is a type of differential equation driven by canonical process.
不确定微分方程是由标准过程驱动的一类微分方程。
Firstly, we derived the differential equation of motion of system.
文中首先建立了系统的运动微分方程。
What would a solution be to this differential equation?
这个微分方程的,解法是什么呢？
In the third chapter, we discussed the problem about partial differential equation with small parameter on the high-order item.
第三章主要对小参数在高阶项的偏微分方程进行讨论，也就是一般意义上的边界层问题。
For the time-varying component, the finite difference combined with heat transfer theory was employed to solve the differential equation of temperature fluctuation on the cavity surface.
波动部分是在给出温度波动的微分方程后，利用有限差分法结合传热学对型腔表面温度波动进行数值求解。
It is a difficult problem studying the existence of periodic solutions of differential equation in abstract spaces.
研究抽象空间微分方程周期解的存在性一直是比较困难的问题。
Some problems of quantum mechanics can be solved easily by means of the invariant of differential equation.
利用常微分方程的不变式，非常方便地求解了一些量子力学问题。
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。
|differential eguation;[数]微分方程
微分方程（Differential Equation）是描述未知函数与其导数（或微分）之间关系的数学方程。它是连接函数与其变化率的关键工具，广泛应用于物理学、工程学、生物学、经济学等领域，用于建模和预测动态系统的行为。
核心概念与分类：
基本定义：
主要类型：
核心意义与应用：
微分方程的核心价值在于它能够定量描述变化。许多自然规律和工程原理都可以表述为微分方程：
求解与解的含义：
权威来源参考：
总而言之，微分方程是数学中研究变化规律的核心分支，它通过建立函数与其导数之间的关系，为理解和预测自然界及工程技术中各类动态系统的演化过程提供了强大的数学语言和工具。
微分方程（Differential Equation）是数学中用于描述变量间动态关系的重要工具。以下是详细解释：
微分方程是包含未知函数及其导数的方程，用于刻画物理、工程、生物等领域中系统随时间的演化规律。例如：
微分方程可按以下方式分类：
常微分方程（ODE）
仅含一个自变量的导数，如：$frac{dy}{dx} = 2x$。
偏微分方程（PDE）
含多个自变量的偏导数，如热传导方程：$frac{partial u}{partial t} = k
abla u$。
线性与非线性
线性方程中未知函数及其导数为一次项且不相互乘积，如：$y'' + p(x)y' + q(x)y = 0$；非线性方程则相反，如：$y'' + y = 0$。
根据方程类型选择方法：
微分方程是连接数学与自然科学的核心语言，通过导数关系揭示系统的动态特性。其研究涵盖从经典力学到现代混沌理论的广泛领域。
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