二阶非线性差分方程正解的存在性

The existence of the positive solution to the second order nonlinear difference equation

本文主要讨论了一类二阶非线性差分方程最终正解的存在性。我们利用Banach压缩映射原理,对中立型项系统的四种分布情形给出了方程存在最终正解的存在性定理。

In the paper,we mainly discuss the existence of the eventually positive solution to the second order nonlinear difference equation.On the basis of the Banach contraction mapping principle,we obtain the existence of eventually positive solution of the equation for the four type of distribution situation of the neutral terms system.