具有多时滞偏差变元的二阶中立型差分方程的振动性

Oscillation of second order neutral difference equations with multi-delay arguments

文[5]研究了一类具有连续变量的二阶中立型差分方程的振动性,给出了所研究方程振动的几个充分条件.将[5]所研究方程的单时滞偏差变元增加为多时滞偏差变元,研究具有多时滞偏差变元的一类二阶中立型差分方程的振动性,给出了方程振动的两个充分条件.所作的研究是对[1]所研究问题的扩展和补充.所研究的方程包含了[2-4]所研究的方程类型,推广了[2-4]的部分结论.

Some sufficient conditions for the oscillation of a kind of second order continuous neutral difference equations are obtained in[ 5 ]. The authors explore the oscillation of a kind of second order neutral difference equations with multi -delay instead of the equations with single -delay in[ 5 ] , and two sufficient conditions for the oscillation of this kind of equations are obtained, which extend the results of the equations in[ 1 ]. The equations that they research conclude the kinds of equations in[2 -4 ]. Furthermore, these researches are also generalization of the results proposed in [ 2 - 4 ].