| 不稳定型差分方程非振动解的分类和有界解的振动性 |
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| 引用本文： | 李秀云,张振国,俞元洪.不稳定型差分方程非振动解的分类和有界解的振动性[J].内蒙古师范大学学报(自然科学版),2006,35(1):20-25. |
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| 作者姓名： | 李秀云 张振国 俞元洪 |
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| 作者单位： | [1]承德师范专科学校数学系,河北承德067000 [2]河北师范大学数学与信息科学学院,河北石家庄050016 [3]中国科学院应用数学研究所,北京100080 |
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| 摘 要： | 讨论了不稳定中立型差分方程的振动性．分析了方程所有非振动解的类型．利用Lebesgue控制收敛定理研究了各种类型非振动解的存在性．得到所有有界解振动的充要条件．
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| 关 键 词： | 不稳定中立型差分方程 非振动解 分类 |
| 文章编号： | 1000-8735（2006）01-0020-06 |
| 收稿时间： | 2005-08-15 |
| 修稿时间： | 2005年8月15日 |
The classification of nonoscillatory solutions and the oscillation behavior of bounded solution for the unstable difference equations |
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| LI Xiu-yun,ZHANG Zhen-guo,YU Yuan-hong.The classification of nonoscillatory solutions and the oscillation behavior of bounded solution for the unstable difference equations[J].Journal of Inner Mongolia Normal University(Natural Science Edition),2006,35(1):20-25. |
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| Authors: | LI Xiu-yun ZHANG Zhen-guo YU Yuan-hong |
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| Institution: | 1. Department of Mathematics. Chengde Teachers College, Hebei Chengde,067000 China 2. College of Mathematics and information Science , Hebei Normal University , Shij iazhuang ,050016 China ; 3. institute of Applied Mathematics ,Academic Sinica ,Beijing 100080 China |
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| Abstract: | In this paper,oscillation of the unstable neutral differencee quations is discussded.The classification of nonoscillatory solutions is analysed and the existence of every type nonoscillatory solutions is studied by using Lebesgue's dominated convergence theorem,some sufficient and necessary condition are obtained as well for the eoscillation behavior of bounded solution. |
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| Keywords: | unstable neutral difference equalions nonoscillatory solutions classification |
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