线性微分方程

这个方法在原则上也可以推广到n阶线性微分方程。

In principle , this method may also be applied to a linear differential equation of nth order .

常系数线性微分方程的拉普拉斯（Laplace）变换解法

Laplace transform solution in linear differential equation with constant coefficients

一类可化为逐次积分的n阶线性微分方程的解法

The Solution of n Step Linear Differential Equation That Can Change into Successive Integral

关于N阶混合型线性微分方程特征根的分布

About the distribution of characteristic root of liner MIXE-TYPE differential equation of order n

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 .

本文借助Laplace变换讨论了高阶线性微分方程的一种解法。

A solution of higher linear differential equation by Laplace transform was discussed .

常系数线性微分方程RMI解题机

RMI Solver for Constant Coefficient Linear Differential Equations

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 .

基于线性微分方程模型和k-means聚类研究乳腺癌转移相关基因调控通路

Genetic regulatory pathway of gene related breast cancer metastasis : primary study by linear differential model and k-means clustering

研究了几类K阶整系数线性微分方程解的超级、零点收敛指数和零点超收敛指数，得到一些精确的结果。

The hyper order , the exponent of convergence and the hyper-exponent of convergence of zeros of solutions for some types of K-order linear differential equations with entire coefficients are discussed .

齐次线性微分方程的x~re~（kx）型解

The x ~ re ~ ( kx ) solution of homogeneous linear differential equation

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 .

文[1]中给出了常系数非齐线性微分方程当f具有特殊形状的两类特解形式，本文根据其推导思想给出了两类欧拉方程的特解表达式。

In paper [ 1 ] author gave the expression of special solution for constant coefficient nonhomogeneous linear equation while the form of f is special . In this paper , we by this way give the expression of special solution for two kinds of Euler equation .

通过寻求积分因子f1（x），f2（x），求解一类二阶线性微分方程，包括二阶常系数线性微分方程和二阶Euler方程。

By looking for the integral factor f_1 ( x ), f_2 ( x ), we can get the general solution of a kind of second order linear differential equation , including second order linear differential equation with constant coefficients and second order Euler differential equation .

本文运用三阶线性微分方程的Liapunov函数，构造了一类三阶非线性微分方程的Liapunov函数，得到该系统的全局渐近稳定性条件。

In this paper , we use the liapunov function of the third order linear differential equations , set up the liapunov function of a class of third order nonlinear differential equations and obtain the condition of the entire gradual stability of this system .

第二章，我们证明了迭代级亚纯函数的Borel例外值、充满圆及Borel方向。推广了已有的结果。本文中，我们讨论了迭代级亚纯函数系数线性微分方程解的性质。

In chapter 2 , we investigate the Borel exceptional values , full circles , and Borel directions of iterated order of meromorphic functions . In this thesis , we investigate the property of solutions of differential equations with coefficients of iterated order .

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

简议二阶变系数线性微分方程解法

Discussion of Key to Second Order Linear Variable Coefficient Differential Equation

周期系数二阶线性微分方程的稳定性

On Stability of Two Order Linear Differential Equations with Periodic Coefficient

一类四阶线性微分方程的奇摄动问题

Singular Perturbation Problem of a Class of Forth-order Linear Differential Equations

两类三阶线性微分方程的降阶条件

Descending Order Condition of Two Forms of Third-order Linear Differential Equations

常数变易法求解一类四阶常系数非齐次线性微分方程

On Solving Linear Differential Equations of Order Four with Constant-transform Method

关于变系数线性微分方程的稳定性

On the Stability of Linear Differential Equation with Varying Coefficients

线性微分方程稳定性的充分条件

The Sufficient Conditions of the Stability of Linear Differential Equation

引入了方向算符（？）高阶变系数线性微分方程的新算子解法

New Operator solution Of Higher Order linear Differential Eguation with variable coefficient

二阶线性微分方程在李群之下的不变式

The invariants of the second order linear differential equation in Lie group

一类线性微分方程的整函数解

The Entire Function Solution of A Class of Differential Equations

给出了某些基本类型的线性微分方程的算子解法。

The article discusses the solutions to some basic linear differential equations .

单位圆上线性微分方程解的几个性质

Several properities of solutions of linear differential equations in the unit disc

一般形式的线性微分方程解的渐近性与振动性

Oscillatory and Asymptotic Behavior of Solutions of the General Third-order Differential Equations