| 时滞差分方程的振动性准则 |
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| 引用本文： | 高伟. 时滞差分方程的振动性准则[J]. 浙江师范大学学报(自然科学版), 2001, 24(2): 126-128 |
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| 作者姓名： | 高伟 |
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| 作者单位： | 常德师范学院数学系, |
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| 摘 要： | 为改进和建立一类时滞差分方程的振动准则，利用算术－几何平均不等式及最小值原理不等式方法，研究了一类基本时滞差分程的振动性，得到了两个新的新动准则，获得了准则比原有的结果更加精确，也包含了原有文献相应的结果。
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| 关 键 词： | 时滞差分方程 最终正解 振动性准则 算术－几何平均不等式 最小值原理不等式 |
| 文章编号： | 1001-5051-(2001)02-0126-03 |
| 修稿时间： | 2000-11-20 |
Oscillation criteria fordelay difference equations |
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| GAO Wei. Oscillation criteria fordelay difference equations[J]. Journal of Zhejiang Normal University Natural Sciences, 2001, 24(2): 126-128 |
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| Authors: | GAO Wei |
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| Abstract: | In order to further improve the previous results and establish new oscillation criteria of a certain type of delay difference equations,the author has looked more deeply into their oscillatory by means of arithmetic meangeometric mean inequality and minimum principle inequality and obtained two oscillation criteria,wich,as compared with the previous ones,were not only more accurate,but also inclusive of the corresponding results obtained in the previous paper. |
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