摘要
利用降阶法及一阶常系数线性差分方程的通解 ,推导出二阶常系数线性差分方程的通解形式 .并根据齐次和非齐次差分方程通解的结构 ,对特征方程根的三种情况分别给出二阶常系数线性差分方程的通解公式 .
By using the reducing order method and the general solution of first order constant coefficient linear difference equation,a general solution form of second order constant coefficient linear difference equation is derived.The formulas of general solution for three situations of characteristic roots are also given on the basis of structure of general solution of homogeneous and nonhomogeneous difference equations.
出处
《沈阳工业学院学报》
2000年第4期80-84,共5页
Journal of Shenyang Institute of Technology
关键词
降阶法
线性差分方程
通解
二阶常系数
method of reducing order
difference equation
general soluti