| 一类偶数阶非线性中立型方程的渐进性和振动性 |
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| 引用本文： | 罗李平,欧阳自根.一类偶数阶非线性中立型方程的渐进性和振动性[J].云南大学学报(自然科学版),2007,29(4):330-334. |
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| 作者姓名： | 罗李平 欧阳自根 |
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| 作者单位： | 1. 衡阳师范学院,数学系,湖南,衡阳,421008
2. 南华大学,数学系,湖南,衡阳,421001 |
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| 摘 要： | 考虑一类带强迫项的偶数阶非线性中立型泛函微分方程,利用数学分析方法和技巧与方程各阶导数的符号关系,得到了该类方程解的渐进性和振动性的若干充分条件.
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| 关 键 词： | 偶数阶 非线性中立型方程 渐进性 振动性 强迫项 |
| 文章编号： | 0258-7971（2007）04-0330-05 |
| 修稿时间： | 2006-03-14 |
Asymptotic behavior and oscillation for a class of even order nonlinear neutral equations |
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| LUO Li-ping,OUYANG Zi-gen.Asymptotic behavior and oscillation for a class of even order nonlinear neutral equations[J].Journal of Yunnan University(Natural Sciences),2007,29(4):330-334. |
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| Authors: | LUO Li-ping OUYANG Zi-gen |
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| Institution: | 1. Department of Mathematics, Hengyang Normal University, Hengyang 421008, China; 2. Depart ment of M at hematics, Nanhua U niversity, Hengyang 421001, China |
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| Abstract: | A class of even order nonlinear neutral functional differential equations with forced term is considered.By using analytic method and technique,and according to the sign relation of derivatives up to n-th of the equation,some sufficient conditions for the asymptotic behavior and oscillation of solutions of the equations are obtained. |
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| Keywords: | even order nonlinear neutral equation asymptotic behavior oscillation forced term |
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