查询词典 implicit differential equation

Many high-rise buildings can be simplied into variable cross-section cantilever beam, which equation of free vibration is variable coefficient differential equation of higher order and there is no general solving process for which in mathematics.

对这类方程，数学上没有提供一般的解法。本文采用的级数解法可求出任何变系数的四阶微分方程，在给定边界条件下的解。

In this paper, a new method used to deal with the motion ability is studied deeply based on Routh-Hurwitz Criterion. The advantage of this kind of analysis method consists in the fact that after establishing the equation in differential calculus for the motion system, there is no need to know a root of the equation, if you know the root signs, you can judge the zero solution stability of the system.

本文利用劳斯－赫尔维茨判据(Routh-Hurwitz Criterion)对机械系统中离心转速调节器的运动德定性进行了分析，这种分析方法的优点就在于：建立系统运动微分方程的特征方程后，不必求解特征方程的根，只需知道根的符号就可判断系统的零解稳定性。

Based on the principle of variation, boundary value problem of pressure partial differential equation was transformed into the extreme value problem of fonctionelle and finite element equation of flow model was deduced for calculating the simulation result.

根据变分原理，将压力微分方程的边值问题转化为泛函的极值问题，建立了渗流模型的有限元方程。

The main contents of this course include: introduction, extraction of root from an equation, numerical solution of a system of linear equations, interpolation method, the method of fitting of a curve, numerical integration and differentiation, numerical solution of a differential equation, one-dimensional search method of extreme value problem, etc.

本课程包括以下内容：绪论、方程求根、线性方程组数值解法、插值法、曲线拟合法、数值积分与数值微分、微分方程数值解法、极值问题的一维搜索法。

Due to the effect of curvature of shell, the equation of motion of elastic waves in shell is much more complex than that in plate. The method of operator factorization can't be directly used to solve the equation of motion of elastic waves in shell by reducing it to the second order partial differential equations.

由于壳体曲率的影响，使得壳体的弹性波动方程比平板的运动方程复杂得多，难以直接采用算子因式分解方法，将其化成二阶偏微分方程求解。

In this paper,by using the characteristic equation,some forced oscillation of certain delay hyperbolic differential equation s are obtained.

借助其特征方程，获得了一类时滞双曲型微分方程解的强迫振动的若干充分条

The second kind of parabolic differential equation,multi-dimensional fractional equation,is generalized from the seepage flow.

遗憾的是，大多数分数阶微分方程的解析解都含有复杂的级数或者特殊函数，不利于进行近似计算。

With the aids of qualitative analysis of the fractional differential equation, the stability of the equilibrium points of the innovative technology diffuse models based on fractional Logisitic equation are studied.

利用分数次微分方程的定性理论，给出了基于分数次Logistic方程网络式技术创新传播模式平衡点的稳定性分析，为创新技术的开发与积累提供了理论依据。

Many problems of dynamical systems can be reduced to an iterative functional equation or an iterative functional differential equation.

根据系统变化的规律可分为由微分方程描述的连续动力系统和由映射迭代揭示的离散动力系统。

In Chapter 1, concepts of iteration, dynamical system, iterative functional equation and iterative functional differential equation are introduced.

本文将研究几种类型的迭代函数方程和迭代泛函微分方程的光滑解和解析解的存在性、唯一性和稳定性。

There are different types of personal loans available.

有许多不同类型的个人贷款优惠。

The above mentioned teaching model of spiral rising can be used to avoid rigidness in teaching.

上述螺旋式上升的教学模式，可以避免教学形成模式後的僵化现象。