我们假设在所考虑的微分方程中，系数函数为片段常函数。
The coefficient functions of the hyperbolic equations considered are assumed to be piecewise constant.
当所有基础方程都能用一组定常参数值来描述，正如熟知的RLC电路的情况，就称该系统是稳态的，或时不变的，或常系数的。
When all elemental equations can be described by a set of constant parameter values, as in the familiar RLC circuit, the system is said to be stationary or time-invariant or constant coefficient.
本文主要探讨可化为常系数的线性微分方程的求解问题。
This paper mainly deals with the solution to the linear differential equation that can be changed into the one with constant coefficients.
一种重要的情形是常系数二阶线性齐次微分方程。
An important case is the linear homogeneous second-order differential equation with constant coefficients.
给出了常系数非齐次线性微分方程特解的一种新的公式化求解方法。
This paper given the formula of solution for nonhomogeneous linear differential equation with constant coefficients.
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 two conditions of the second order nonlinear differential equation with variable coefficient are given and expounded with examples.
常系数的常微分方程变换为代数方程可以用于实现传递函数的概念。
Ordinary differential equation with constant coefficients transform into algebraic equations that can be used to implement the transfer function concept.
首次给出求解确定性与随机常系数差分方程及确定性与随机时变系数差分方程的统一方法；
The unified method of solving LDS(linear discrete system) difference equations of determinate and time varying coefficients as well as stochastic and stochastic time varying coefficients is proposed.
本文给出了一个二阶常系数线性非齐次微分方程的特解公式。
This paper deals with the formula of particular solution to 2-order linear inhomogeneous differential equation with constant coefficients.
精细积分法在求解刚性方程和常系数线性方程时显示出很大的优越性，这为柔性体系动力学方程的求解提供了新的工具。
The time precise integration method shows great advantage to solve the stiff equations and nonlinear equations, it provides a new computation way for the research of flexible multibody system.
利用线性变换，统一给出常系数线性方程齐次通解和非齐次特解解构造定理的简化证明。
Using linear transform, the simple proof for solution of higher order linear differential equations was given.
二阶常系数非齐次线性微分方程的特解一般都是用“待定系数”法求得的，但求解过程都比较繁琐。
In general, special solution of non-homogeneous linear equation of constant coefficient of the second order is obtained by the method of undetermined coefficient, but it's process is too complicated.
本文给出常系数线性微分方程组一种新的求解方法。
This paper suggests a new way of finding solutions for linear systems of ordinary differential equations with constant coefficients.
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.
本文研究了线性递推方程解的结构以及常系数线性齐次递推方程解法。
In this paper, we study the structure of the linear recursion equation and get the solution to the constant coefficient linear homogeneous recursion equation.
给出了求常系数线性齐次差分方程组通解的一种方法，用一个例子说明所给方法。
This paper gives a method to obtain solution of linear homogeneous difference systems with constant coefficients. The method of this paper is illustrated by a example.
本文研究二维常系数反应扩散方程的紧交替方向隐式差分格式。
Secondly, a compact ADI difference scheme is presented by introducing a variable of intermediate value.
利用常数变易法求解具有实特征根的四阶常系数非齐次线性微分方程，在无需求其特解及基本解组的情况下给出其通解公式，并举例验证公式的适用性。
Demonstrated in this paper is how the Constant-transform method, the typical method for solving differential equations of order one, is used in solving linear differential equations of order three.
讨论一阶常系数线性微分方程组通解问题，给出一种新的向量解法。
We discuss the first order linear differential equations with constant coefficients and give a new vector method of it.
提出了非齐次线性递归方程的降阶公式，并由此导出了常系数非齐次线性递归方程的特解公式。
We give a theoretical basis for special solution of the linear non-homogeneous recursion equation with constant coefficient.
采用降阶和特征根 （欧拉 ）方法 ，给出了一类三维二阶常系数微分方程组的通解公式 ，并通过算例与拉氏变换法进行了比较。
With the variable replacement method, general solution formulae were given to the linear differential systems with complex constant coefficients and that with a class of complex variable coefficients.
研究了三阶Poincaré差分方程解的渐近性质。这种差分方程对应的常系数线性差分方程的特征方程有重根。
We studied the asymptotic behavior of solutions to third order Poincaré difference equation whose characteristic equation has multiple roots.
研究了三阶Poincaré差分方程解的渐近性质。这种差分方程对应的常系数线性差分方程的特征方程有重根。
We studied the asymptotic behavior of solutions to third order Poincaré difference equation whose characteristic equation has multiple roots.
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