二阶中立型多时滞差分方程的振动性和渐近性

摘要

A class of unstable type second-order neutral difference equations with several delay arguments is in?vestigated by using the method of analysis and the fixed point theorem, and one sufficient condition for oscilla?tion of the bouned solutions of the equations is obtained. Two sufficient conditions or sufficient and necessary conditions for the convergence to a constant of nonscillatory solutions are also gained. In addition, some results existing in the literature are generalized and improved.%利用分析的方法和不动点原理,研究了一类不稳定的二阶多时滞中立型差分方程,给出了该类方程有界解振动的一个充分条件及非振动解趋向于常数的充分或充要条件,并对已有文献中某些结果进行了推广和改进.