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| 具有多时滞偏差变元的二阶中立型差分方程的振动性 | |
| 引用本文： | 张建国,侯艳红,邹杰涛. 具有多时滞偏差变元的二阶中立型差分方程的振动性[J]. 黑龙江大学自然科学学报, 2006, 23(4): 441-443 |
| 作者姓名： | 张建国 侯艳红 邹杰涛 |
| 作者单位： | 北方工业大学,理学院,北京,100041 |
| 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. |
| 关 键 词： | 多时滞 中立型差分方程 振动性 最终正解 |
| 文章编号： | 1001-7011(2006)04-0441-03 |
| 修稿时间： | 2006-02-01 |
Oscillation of second order neutral difference equations with multi-delay arguments |
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| ZHANG Jian-guo,HOU Yan-hong,ZOU Jie-tao. Oscillation of second order neutral difference equations with multi-delay arguments[J]. Journal of Natural Science of Heilongjiang University, 2006, 23(4): 441-443 | |
| Authors: | ZHANG Jian-guo HOU Yan-hong ZOU Jie-tao |
| Abstract: | 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]. |
| Keywords: | multi-delay second order neutral difference equations oscillation eventually positive solution |
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