二阶非线性混合型差分方程非振动解的存在性

The existence of the non-oscillatory solution to the second order nonlinear mixed difference equation

主要讨论二阶非线性混合型差分方程,即带正负项的方程非振动解的存在性。并利用Banach压缩映射原理对中立型项系统的四种情形给出了方程存在最终正解存在性定理。

In the paper,we mainly discuss the existence of the non-oscillatory solution to the second order nonlinear mixed difference equation,which is the difference equation with positive and negative term.Based on the Banach contraction mapping principle,we give the existence of eventually positive solution of the equation for the four type of distribution situation of the neutral terms system.