求非齐次差分方程特解的推广  

The Generalization of Working Out a Special Solution for Inhomogeneous Difference Equation

作　　者：胡劲松[1] 

机构地区：[1]四川工业学院计算机科学与工程系,四川成都610039

出　　处：《重庆师范学院学报（自然科学版）》2003年第3期77-80,共4页Journal of Chongqing Normal University(Natural Science Edition)

摘　　要：教材中用"待定系数"法介绍了一、二阶常系数线性非齐次差分方程在f(x)=dxPm(x)时特解的求法。本文将该方法推广,讨论了当f(x)=dx[Ps(x)cosωx+Pn(x)sinωx]时常系数线性非齐次差分方程特解的求法。By the method of undetermined coefficients, some textbooks introduce the way of the particular solution of firstorder and secondorder linear difference equations with constant coefficients, which have a nonhomogeneous term f(x)=dxPm(x). The particular solution of difference equations with a nonhomogeneous term f(x)=dx is generalized and discussed.

关 键 词：非齐次差分方程 特解 待定系数 求解方法 特征方程 特征多项式 叠加原理 

分 类 号：O241.3[理学—计算数学]