Homogeneous Linear Equation

This paper proves the existence theorem of the system of basic solutions for the right homogeneous linear equation sets over a non-commutative principal ideal domain R and gives the representation of the solutions for the right linear equation sets over R.

证得非交换主理想整环R上右齐次线性方程组基础解系存在定理，给出R上右线性方程组解的表示。

The Application of Homogeneous Linear Equation System with Non - zero Solution

有非零解的齐次线性方程组的应用

Necessary conditions for stability of homogeneous linear equation with variable coefficient

变系数齐线性方程稳定的必要条件

A Simple Method for the Orthogonal Fundamental Solution of Homogeneous Linear Equation System

齐次线性方程组正交的基础解系的一种简便求法

A simple method for the orthogonal fundamental solution of homogeneous linear equation system and the example in its application are given .

给出了求齐次线性方程组正交的基础解系的一个简便方法和一个应用实例。

By using equivalent transformation and the properties of solutions , necessary conditions for the stability of homogeneous linear equation with variable coefficient are obtained .

用等价变换和解的性质得到了变系数齐线性方程稳定的一些必要条件。

An Integrable Type of Second Order Homogeneous Linear Differential Equation With Variable Coefficients

二阶齐线性变系数方程的一类可积型

Application of Determinant to Solving Homogeneous Linear Differential Equation

利用行列式解线性齐次微分方程

Lyapunov Instability Criteria and critical condition of the homogeneous linear differential equation with real coefficients

常系数齐次线性方程临界情形与零解不稳定的几则判据

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

齐次线性微分方程的x~re~（kx）型解

The method of variable substitution and the solution of the second-order homogeneous linear differential equation with varied coefficient

变量替换法与二阶变系数齐次线性微分方程的求解

Studied the reduced sufficient conditions which third order homogeneous linear differential equation with varied coefficient . They are improvements and expansions for some results of [ 1 ~ 2 ] .

讨论了三阶变系数齐次线性微分方程可降阶的3个充分条件，它是文献[1～2]中相关结论的改进和发展。

At first , the threshold signature scheme with special right is proposed , which realized threshold signature among the signers having two different sign rights by using the structures properties of constant coefficients homogeneous linear difference equation .

首先，提出一种特殊的有否决权的门限签名方案，该方案利用齐次常系数线性差分方程的结构及其解的结构，给出了具有两种不同签名权限的签名者参与的门限签名协议。

This paper puts forward four sufficient conditions under which second order homogeneous linear differential equation with varied coefficient can be converted into second order homogeneous linear differential equation with fixed coefficient , so that second order homogeneous linear differential equation with varied coefficient can be solved .

本文绘出了二阶交系数齐线性方程可化为二阶常系数齐线性方程的四个充分条件，从而使二阶变系数齐线性方程可解。

A Note on the General Solution to a Two-order Homogeneous Linear Ordinary Differential Equation with Constant Coefficients

关于二阶常系数线性齐次常微分方程的通解的一个注记

By discussing the properties of the correspondence homogeneous linear delay difference equation , the sufficient and necessary condition for the global asymptotic stability of zero solution is obtained .

通过讨论对应的齐次线性差分方程的性质，获得了关于零解全局渐近稳定的充分必要条件。

In this paper by using tensor analysis we give the explicit expressions of the solution of the initial-value problem of homogeneous linear differential equations with constant coefficients and the nth-order homogeneous linear differential equation with constant coefficients .

本文利用张量分析给出了常系数线性常微分方程组和n阶常系数线性常微分方程初值问题一般解的显式表示，包括特征根有重根时的情况。