| 具有连续变量的奇数阶时滞差分方程的振动准则 |
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| 引用本文： | 刘一龙,杨甲山. 具有连续变量的奇数阶时滞差分方程的振动准则[J]. 合肥工业大学学报(自然科学版), 2009, 32(4) |
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| 作者姓名： | 刘一龙 杨甲山 |
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| 作者单位： | 邵阳学院,理学与信息科学系,湖南,邵阳,422004;邵阳学院,理学与信息科学系,湖南,邵阳,422004 |
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| 基金项目： | 湖南省教育厅科研项目 |
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| 摘 要： | 文章研究了一类具有连续变量的奇数阶非线性时滞差分方程的振动性, 得出了该类方程所有有界解振动的几个充分条件,同时得出了该类方程振动的充分条件.
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| 关 键 词： | 时滞差分方程 振动性 最终正解 连续变量 |
Oscillatory criteria of odd-order nonlinear delay difference equations with continuous arguments |
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| LIU Yi-long,YANG Jia-shan. Oscillatory criteria of odd-order nonlinear delay difference equations with continuous arguments[J]. Journal of Hefei University of Technology(Natural Science), 2009, 32(4) |
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| Authors: | LIU Yi-long YANG Jia-shan |
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| Affiliation: | Dept.of Sciences and Information Science;Shaoyang University;Shaoyang 422004;China |
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| Abstract: | The oscillation of a class of the odd-order nonlinear delay difference equations with continuous arguments is studied.Some sufficient conditions for oscillation of all bound solutions of the equations are obtained,and a sufficient condition of the oscillation of the equations is also achieved. |
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| Keywords: | delay difference equation oscillation eventually positive solution continuous argument |
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