| 一阶中立型差分方程非振动解的分类 |
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| 引用本文： | 于静之,闫信州.一阶中立型差分方程非振动解的分类[J].数学的实践与认识,2010,40(7). |
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| 作者姓名： | 于静之 闫信州 |
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| 作者单位： | 1. 青岛农业大学,理学与信息学院,山东,青岛,266107
2. 山东医学高等专科学校,山东,济南,250002 |
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| 摘 要： | 讨论了中立型差分方程的非振动解.首先由非振动解的渐进性质把非振动解分成两类.其次分别给出存在这两类非振动解的充分条件.最后给出例子说明定理的应用.
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| 关 键 词： | 中立型差分方程 非振动解 渐进性质 周期函数 |
The Classification of Nonoscillatory Solutions of One Order Neutral Difference Equations |
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| YU Jing-zhi,YAN Xin-zhou.The Classification of Nonoscillatory Solutions of One Order Neutral Difference Equations[J].Mathematics in Practice and Theory,2010,40(7). |
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| Authors: | YU Jing-zhi YAN Xin-zhou |
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| Institution: | YU Jing-zhi~1,YAN Xin-zhou~2 (1.Sh,ong Medical College,Sh,ong 250002,China) (2.Department of science , information,Agriculture University of Qingdao,Qingdao 266107,China) |
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| Abstract: | In this paper,the nonoscillatory solutions of one order neutral difference equations are studied.First of all,nonoscillatory solutions of the equations are divided into two kinds according to their asymptotic behavior.Secondly,sufficient conditions are obtained for the existence of two kinds of nonoscillatory solutions of the equations respectively.In the end,the example is given to illustrate the application of the theorems. |
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| Keywords: | neutral difference equation nonoscillatory solution asymptotic behavior periodic function |
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