三阶中立型时滞差分方程正解的存在性定理

On existence theorem of positive solution for third order neutral delay difference equations

利用Ｂａｎａｃｈ 空间不动点定理，研究了一类变系数的三阶中立型时滞差分方程正解的存在性，给出了其正解存在的条件。

This paper studies the existence of positive solutions for a class of the third order neutral delay difference equation by applying the Banach space fixed point theorem, givesout a condition of the existence of positive solutions of the equation, extendes the results which have obtained.