差分方程组的解及其应用

The Solution and Applications of Difference Equations

该文利用求特征方程的特征根的方法讨论形如的常系数齐次差分方程组的求解问题，给出了求出ｆｉ（ｎ）的一般表达式及其所满足的差分方程的一个简便方法，并用来求解几个计数问题。

This paper tries to solve the constant coeficients homogeneous difference equation as with the method of sovling the characteristic roots of characteristic equations. A simple method is given to find the general expression of ∫i (n) and the difference equation which is satiszied by fi(n), and it is used to solve several problems of enumeration.