| 连续变量差分方程的振动性 |
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| 引用本文： | 闫卫平,孟琼.连续变量差分方程的振动性[J].山西大学学报(自然科学版),2007,30(2):136-138. |
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| 作者姓名： | 闫卫平 孟琼 |
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| 作者单位： | 山西大学,数学科学学院,山西,太原,030006 |
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| 基金项目： | Foundation of Doctoral Program Research of the Education Ministry of China（20040108003） |
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| 摘 要： | 利用特征方程,得到了关于连续变量差分方程x(t τ)-x(t) ∑ from i=1 to m qix(t-σi)=0其中τ,qi,σi∈(0,∞)(i=1,2,…,m),所有解振动的充要条件和几个显式的充分条件.
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| 关 键 词： | 连续变量差分方程 振动 特征方程 |
| 文章编号： | 0253-2395（2007）02-0136-03 |
| 修稿时间： | 2007-03-16 |
Oscillation of Difference Equation with Continuous Arguments |
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| VAN Wei-ping,MENG Qiong.Oscillation of Difference Equation with Continuous Arguments[J].Journal of Shanxi University (Natural Science Edition),2007,30(2):136-138. |
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| Authors: | VAN Wei-ping MENG Qiong |
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| Institution: | School of Mathematical Sciences, Shanxi University, Taiyuan 030006, China |
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| Abstract: | A sufficient and necessary condition for oscillation of difference equation with continuous arguments x(t +τ) - x(t) +m∑i=1 qix(t - σi) = 0 where τ, qi,σi ∈(0,∞ ) (i =1,2,…,m) , is established by using the characteristic equation. Furthermore, some explicit conditions for oscillation are obtained. |
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| Keywords: | difference equation with continuous arguments oscillation characteristic equation |
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