线性差分方程

几类基于Cauchy矩阵的变系数线性差分方程组的稳定性条件

Stability conditions based on Cauchy-matrix for some classes of time-varying linear difference equations

其次，我们讨论了几类k阶常系数非齐次线性差分方程，根据非线性项的特征，将其化为更高阶齐次线性差分方程。

Then , we discuss several types of k-order non-homogeneous linear difference equations with constant coefficients . According to the character of the equations , we transfer them to higher order homogeneous linear difference equations .

n阶常系数线性差分方程的Mikusinki算符解法

Mikusinski 's operators solution of the n-th order linear difference equation with constant coefficients

Toeplitz矩阵在常系数线性差分方程中的应用

Toeplitz matrix for inhomogeneous linear difference equation with constant coefficients

线性差分方程的Liouville公式及应用

Liouville Formulas and Their Applicatons for Linear Difference Equation

另外，把一般的n阶变系数线性差分方程转化为一个恰当的算符方程组，从而获得一般n阶变系数线性差分方程的解。

Furthermore , with a general variable coefficient linear difference equation of the n-th order which is turned into a set of operator equations , we can obtain the solutions of the general n-th order variable coefficient linear difference equation .

一阶线性差分方程定义的平面离散曲线

Discrete Planar Curves Defined by First Order Linear Difference Equations

一类线性差分方程组的解

An approach to solve the system of linear difference equation

二阶非齐次线性差分方程为极限圆型的判定

The limit circle criteria for second order nonhomogeneous difference equations

变系数线性差分方程的求解

The Solutions of General Linear Difference Equations with Variable Coefficients

广义线性差分方程解及其基

The Solution and Base of a Kind of Generalized Linear Difference System

常系数线性差分方程的微分解法

Differential method for Linear Difference Equations with Constant Coefficients

关于二阶拟线性差分方程的比较定理（英文）

Comparison Theorem For Second Order Quasilinear Difference Equations ;

二阶线性差分方程的待定系数解法及其证明

Undetermined Coefficient Method and its Proof for Linear Difference Equations with Order 2

四阶线性差分方程极限圆型的判定

The Limit Circle Criteria for Forth-order Linear Difference Equations

常系数非齐次线性差分方程的特解

Discussion on the Special Solutions of Linear Non-Homogeneous Recursion Equation with Constant Coefficient

扰动线性差分方程解的性质

The solution properties of Perturbed Linear Difference Equations

d阶线性差分方程的单调解

Monotone Solutions of d-th order linear differential equations

利用降阶法求二阶常系数线性差分方程的通解

A General Solutions of Second Order Linear Difference Equations with Constant Coefficients Using Reducing Order Method

本文在未被扰动线性差分方程（2）有界增长的条件下，利用离散积分不等式经较定理，对上述问题得到了一些新的结果。

In this paper , some new results are obtained on asymptotic behaviors of the solution for perturbed equations .

本篇硕士论文主要研究了一般形式的二阶和三阶非线性和线性差分方程的边值问题。

This thesis mainly studies the problem of the boundary value of second-order and third-order nonlinear and linear difference equation .

本文给出常系数线性差分方程组的一种解法：算子方法。

This paper give a new method for solving the system of linear difference equation with constant coefficients hy operational method .

研究具有连续变量的中立型差分方程，建立非线性差分方程与其对应线性差分方程振动性间的关系。

Establishes the relationship between the oscillation of neutral difference equations with continuous variable and that of its associated linear limiting equations .

二阶线性差分方程非线性扰动解的渐近性质关于或具有渐近线特性的。

Asymptotic behavior of solutions for nonlinear perturbations of linear second order difference equation ; relating to or of the nature of an asymptote .

武夷山土壤发生特性与系统分类研究一类常系数线性差分方程的特解探究

Genetic Characteristics and Taxonomy of Soils in Wuyi Mountain Research on the Special Solution of a Kind of Linear Difference Equation with Constant Coefficient

常系数齐次线性差分方程组的求解方法，已有作者讨论过，但都没有给出一个比较简便的计算方法。

Much discussion has been made on the methods for the solution to homogeneous linear difference equations with constant coefficients , but none are simple enough .

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。

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 .

一般的算符系数线性差分方程的求解主要是通过引进解析函数，利用解析函数的性质进行求解。

The solution of the linear differential equation with general constant operator coefficient is the analytic function , whose properties are important to the study of this kind of equation .

本文对中国林业发展经济周期进行初步研究。根据经济周期理论，采用线性差分方程及限定记忆递推算法对我国林业产值进行动态预测。

Based on economic cycle theory , the dynamic forecast of forestry output values in China was made by using the linear difference equation and fixed memory recurrence meth - od .

将常系数非齐次线性差分方程求特解的待定系数法，推广到方程组的情形，给出了求方程组特解的一个比较可行的计算方法。

A method of undetermined coefficients for the particular solution to the non-homogeneous linear difference equation is introduced . The method proves very simple and applicable for the particular solution to such equations .