齐次微分方程

复常系数线性齐次微分方程组的解法偏微分方程系统中的时空混沌同步

A Method to Solve Linear Homogeneous Differential Equation System with Complex Coefficients

其基本思想就是：首先，通过观察法可以得到满足某些特定条件的线性齐次微分方程的一个特解；

Its basic ideas are as follows : firstly , by observing , we get a special solution of linear homogeneous differential equation satisfying some conditions ;

关于输入Ebers-Moll模型的信号或是输出信号的求解，都是对一个一阶非线性非齐次微分方程的求解问题。

The problem of Ebers-Moll model of input signal and output signal are solving a first-order non-linear non-homogeneous differential equation .

线性齐次微分方程解的结构的教学注记

Linear homogeneous differential equations note on the structure of the teaching

带阻尼项的二阶拟线性非齐次微分方程的振动性判据

Oscillation Criteria for Second-order Quasi-linear Nonhomogeneous Differential Equation with Damping

二阶变系数线性非齐次微分方程求解的预解法

The Resolvent Method of Solving Second Order Variable Coefficient Linear Non-homogeneous Differential Equation

慢增长系数非齐次微分方程解的性质

The Properties of Solutions of Non homogeneous Linear Differential Equations with Small Growth

利用行列式解线性齐次微分方程

Application of Determinant to Solving Homogeneous Linear Differential Equation

二阶亚纯函数系数的非齐次微分方程解的增长性

On the Growth of Solutions of Second Order Non-Homogeneous Differential Equations with Meromorphic Coefficients

线性变系数齐次微分方程的两种降阶法

The two methods of the reduction of the order on HLDE with variable 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 .

非齐次微分方程两点边值问题正解的存在性及多重性

Existence and Multiplicity of Positive Solutions for Two-point Boundary Value Problem of Nonhomogeneous Differential Equations

三阶常系数线性齐次微分方程组新探

The study of system of 3 first order linear homogeneous differential equations with constant cofficients

三阶线性齐次微分方程解的相邻零点之间的距离

Distance between Adjacent Zero Point of Solution for the Third Order Homogeneous Linear Differential Equations

具有重特征根的一类二阶常系数线性非齐次微分方程的变量代换解法

Solving the Constant Coefficient Non-homogenous Quadratic Linear Differential Equations with Repeated Characteristic Roots by Variable Replacement

几类含双实参数的二阶非齐次微分方程解的探讨

Several Types of Dual Parameter 's Bi - scale Unequal Differential Equation Solution : A Discussion

一类具有x~α型解的变系数线性齐次微分方程的求解

Finding the Solution of Changeable Coefficient Linear Equal Power Differential Equation with x ~ α Type Solution

二阶非齐次微分方程解的平方可积性与有界性

Quadratic Integrability and Boundedness of Solutions of a Class of Linear Nonhomogeneous Differential Equations of Second Order

一类高阶非齐次微分方程的解与小函数的关系

The Relationships between Solutions of a Class of Higher Order Non-homogeneous Differential Equations with Functions of Smaller Growth

求常系数非齐次微分方程特解的一种新方法&特征多项式法

A New Method of Solving linear Non-homogeneous Differential Equations with Constant Coefficients & Method of Using Characteristic Polynomial

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 .

负二次幂交错级数型线性齐次微分方程

The solution of the interlace series type linear even differential equation of contain negative twice power function and arrangement number

权函数是得自对应的齐次微分方程的一般解和完备系。

The weighted functions are obtained based on the use of completed systems of general solution of the corresponding homogeneous equations .

求常系数线性齐次微分方程组初积分的待定系数法

The method of undetermined coeffcients used to find the first integral of a system of homogeneous linear ordinary differential equations with constant coefficents

讨论非齐次微分方程奇边值问题的有效方法是格林函数法，而构造格林函数并非易事。

The effective method is Green function method in discussing singular boundary volue problem of non-homogeneous differential equation , but to construct Green function is not easy .

高阶线性微分方程解的结构理论已很完善，但对一般变系数线性齐次微分方程至今尚未见到探求特解的有效方法。

The structural theory of the solution of linear differential equation of higher order is rather perfect , but there is not any efficient method to obtain special solution by now .

文章用球心投影的方法研究了一般齐次微分方程在全平面上积分曲线的分布情况和稳定性问题。

The article is to introduce the method-center of sphere projection to study the problem of homogeneous differential equation about the distribution integral curve on the whole plane and the problem of stability .

主要解决特征重根型的变系数线性非齐次微分方程的两个问题：其一，推广常系数线性非齐次方程的降阶原理；

This article has mainly solved two problems about a kind of nonhomogeneous differential equation with variable coefficients : ( 1 ) It extended the derogatory principle of nonhomogeneous linear equation with constant coefficients .

非奇异基本解取自各向同性板弯曲问题齐次微分方程的一般解和完备系，使求解边界积分方程容易。

The non-singular fundamental solution is obtained from the general solution and the complete system of the homogeneous differential equation , which result the solution of the boundary integral equation easier to be obtained .

给出了求解常系数线性齐次微分方程组和常系数线性齐次差分方程组的一个方法，指出了这两种方程组之间存在的一个有趣关系。

A new solution to the system of homogeneous linear differential equations and the system of homogeneous linear difference equations with constant coefficients is given . An interesting relation between the two systems is discussed .