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

作　　者：张建国[1] 侯艳红[1] 邹杰涛[1] 

机构地区：[1]北方工业大学理学院,北京100041

出　　处：《黑龙江大学自然科学学报》2006年第4期441-443,共3页Journal of Natural Science of Heilongjiang University

基　　金：北京市教委科技基金资助项目(KM200610009004)

摘　　要：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 ].

关 键 词：多时滞 中立型差分方程 振动性 最终正解 

分 类 号：O177.91[理学—数学]