| 具连续变量中立型差分方程的线性振动性 |
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| 引用本文： | 毕平,韩茂安.具连续变量中立型差分方程的线性振动性[J].上海交通大学学报,2004,38(4):646-649. |
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| 作者姓名： | 毕平 韩茂安 |
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| 作者单位： | 上海交通大学,数学系,上海,200030 |
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| 基金项目： | 国家自然科学基金，高等学校博士学科点专项科研项目 |
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| 摘 要： | 利用积分法研究了二阶具连续变量中立型非线性差分方程的线性振动性,即建立了此非线性差分方程和其相应的线性极限方程振动性间的联系.通过判定一个较简单的线性差分方程的振动性,就可以得到其相应非线性差分方程,甚至是一类非线性差分方程的振动性.
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| 关 键 词： | 线性振动 中立型 连续变量 |
| 文章编号： | 1006-2467(2004)04-0646-04 |
| 修稿时间： | 2003年4月5日 |
Linearized Oscillation of Neutral Difference Equations with Continuous Variable |
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| BI Ping,HAN Mao-an.Linearized Oscillation of Neutral Difference Equations with Continuous Variable[J].Journal of Shanghai Jiaotong University,2004,38(4):646-649. |
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| Authors: | BI Ping HAN Mao-an |
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| Abstract: | Linearied oscillation of second-order neutral difference equations with continuous variable was studied. The relation between the oscillation of the equation and its associated linear limiting equation was established. Hence the oscillatory criteria of the nonlinear difference equation(even a class of nonlinear difference equations) can be obtained by that of the corresponding linear difference equation. |
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| Keywords: | linearized oscillation neutral continuous variable |
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