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三阶线性变系数差分方程的Mikusiski算符解法(Ⅲ)
引用本文:周之虎.三阶线性变系数差分方程的Mikusiski算符解法(Ⅲ)[J].应用数学和力学,1994(1).
作者姓名:周之虎
作者单位:安徽建筑工业学院
摘    要:本文在[3],[4]工作的基础上,利用变数算符的思想以及Mikusinski算符域中移动算符和变系数移动算符级数的有关结果,解决了一般的三阶线性变系数差分方程的求解问题,并且绘出了一些特殊的三阶线性变系数差分方程的更好的解式;此外,还试图为实现更高阶线性变系数差分方程的求解提供思想方法。

关 键 词:Mikusinski算符,移动算符,差分方程

Mikusinski's Operators Solution of Three-Order Linear Difference Equation with Variable Coefficients
zhou Zhi-hu.Mikusinski's Operators Solution of Three-Order Linear Difference Equation with Variable Coefficients[J].Applied Mathematics and Mechanics,1994(1).
Authors:zhou Zhi-hu
Abstract:This paper proceeds with papers3]4].We make use of the idea of the variable number operators and some concepts and conclusions of the shifting operators series with variable coefficients in the operational field of Mikusinski. it is devoted to the solution of the general three-order linear difference equation with variable coefficients.and it is also devoted to the better solution formula for some special three-order linear difference equations with variable coefficients; in addi-tion, we try to provide the idea and method for realizing solution of the more than three-order linear difference equations with variable coefficients.
Keywords:Mikusinski operator  shift operator  difference equation
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