一类高阶非线性中立型时滞差分方程正解的存在性定理

Existence Theorem of Positive Solution for a Class of Nonlinear Neutral Delay Difference Equations of Higher Order

研究了一类高阶非线性中立型时滞差分方程正解的存在性,给出了该类方程存在有界最终正解的一个充要条件。

In this paper, the existence of positive solution for a class of nonlinear neutral delay difference equations of higher order is studied. A sufficient and necessary condition for the existence of bounded eventually positive solution of the equations is obtained.