线性微分方程组

本文利用MATLAB求解《复变函数与积分变换》中的留数、有理函数展开、富里叶变换、拉普拉斯变换和线性微分方程组等若干问题。

Here MATLAB is utilized to solve several problems in Complex variable function & integral transform , such as : residue , rational function , Fourier transform , Laplace transform and system of linear differential equations .

线性微分方程组的矩阵分块解法

The solution on system of linear differential equations by blocking matrix

Gear法用于二阶线性微分方程组时的稳定性与局部截断误差分析

The Stability and Local Truncation Error in Applying Gear 's Method to Second-Order Differential Equations

在此基础上，闭环H∞控制系统状态方程的解也可以由精细积分法计算，虽然对于有限时间H∞状态反馈控制来讲，这是一个变系数线性微分方程组。

The state equation of closed loop system is also solved by the precise integration method , although it is time varying .

解常系数线性微分方程组及化矩阵为Jordan型的一种方法

A Method of Solving Linear Systems with Constant Coefficients and Reducing Matrix to Jordan Form

研究了一类可化为Euler方程的变系数线性微分方程组。

In this paper we study a system of variable coefficient differential equations which can be transformed into Euler equation .

利用稳定性理论和Floquet理论研究了周期系数线性微分方程组的稳定性条件。最后，将周期系数线性微分方程组的稳定性理论应用于一类含有参数的倒立单摆模型。

Then , this paper studys the stability conditions of periodic coefficient linear differential equations with stability theory and Floquet theory . Lastly , the stability theory of periodic coefficient linear differential equations are applied to a class of parametric inverted pendulum model .

含多个小参数的线性微分方程组的对角化

Triangularization of Linear Differential Equation System with Several Small Parameters

具周期系数二维线性微分方程组解的稳定性

On the stability solution of two-dimensional linear differential equations with periodic coefficients

一类周期系数线性微分方程组的精确解

The Exact Solutions To A kind of Differential Equations with Periodic Coefficients

关于复合常系数线性微分方程组的稳定性

On stability of " compound systems " with two ordinary linear differential equations

关于线性微分方程组的几点注记

Some Notes on the System of Linear Differential Equations

四阶线性微分方程组的离散谱估计

Estimates for Discrete Spectrum of System of Linear Differential Equations with Four Orders

齐线性微分方程组降阶定理的一个一般证明

A General Proof of Reduced Order Theorem for System of Homogeneous Linear Differential Equations

一阶常系数线性微分方程组的另一种向量解法

A New Vector Method of the First Order Linear Differential Equations with Constant Coefficients

用残数理论求解常系数线性微分方程组

Solving System of Linear Differential Equations with Constant Coefficient by Means of Residue Theory

变系数线性微分方程组的一类可解型

A Class of Solvable Type of System of Linear Differential Equations with Variable Coefficients

线性微分方程组的解对部分变元稳定的判别方法

Decision of Stability in Solutions of Linear Differential Equations With a Part of variables

用最小多项式求线性微分方程组的基解矩阵

A Method for Calculating Basic Solution Matrix of Linear Simultaneous Equations by Using Minimal Polynomial

二维常系数线性微分方程组的通解公式及应用

The formula of common solution for bivariate linear differential system with constant coefficients and Applications

一类时变一阶线性微分方程组参数辨识的一种方法

A Method of Identifying Parameters in a Kind of Time-varying Linear First-order Differential Equation System

非齐次线性微分方程组

Nonhomogeneous linear system of differential equations

一类线性微分方程组基本解组的一种求法

A Method for Finding the Basic Set of Solutions of a Certain Linear Differential Equation Group

给出一类非齐线性微分方程组特解的简捷求法，并提供了特解的表达式。

Method of substitution of constants is an important method for solving nonhomogeneous linear differential equations .

线性微分方程组可以应用线性代数中的方法求解。

Systems of linear differential equations can be handled by using the methods of linear algebra .

二阶线性微分方程组（6.10）的解依赖于A的特征值。

The solution of the set of second-order linear differential equations depends on the eigenvalues of A.

算子矩阵理论与常系数线性微分方程组求解（Ⅰ）

Theory of Operator metrices and Solution to the Linear systems of Differential Equations with Constant Coefficients (ⅰ)

常系数齐次线性微分方程组初值问题的求解公式及其应用

A formula to solve initial value problem of homogeneous linear differential equations with constant coefficients and its application

有关算符的统计平均值随时间的演化满足一个封闭的一阶线性微分方程组。

The statistical average values of some relevant operators satisfy a set of differential equations of the first order .

二阶周期系数线性微分方程组零解稳定性的充要条件

On Necessary and Sufficient Conditions for Stability of the Trivial Solution of Second Order Linear Differential System with Periodic Coefficients