【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。更多还原

【Abstract】 This paper proceeds with papers[3][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.更多还原