一类高阶中立型差分方程的正解存在性

Existence of Positive Solutions for a Class of Higher-order Neutral Delay Difference Equations

研究了一类具有正负系数的高阶中立型时滞差分方程解的正解存在性问题。利用Krasnoselskii不动点定理在阶为偶数时和阶为奇数的2种情形下,分别讨论了该时滞方程的最终正解的存在性及渐近性态,获得了该时滞方程正解存在性及其解趋于0的几个充分条件。

In this paper, the existence of positive solutions of a class of higher-order neutral delay difference equations with the positive and negative coefficients was investigated. Using the fixed-point theorem of Krasnosdskii, some sufficient condi tions of the Asymptotic behavior and existence of positive solutions for the equations were obtained when the order was even or odd.