| 一类二阶非自治系统解的有界性及渐近性 |
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| 引用本文： | 孙姝. 一类二阶非自治系统解的有界性及渐近性[J]. 中国海洋大学学报(自然科学版), 2006, 36(3): 397-400 |
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| 作者姓名： | 孙姝 |
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| 作者单位： | 海军潜艇学院数学教研室,山东,青岛,266071 |
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| 摘 要： | 研究二阶非自治微分系统.x=P(Q(y)-F(x)),y.=-g(x) e(t)解的有界性及渐近性态,通过构造辅助函数的方法获得了该系统每个解有界及收敛于原点的充要条件,所得结果推广与包含了潘志刚,杨启贵,周进等的相应结果。
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| 关 键 词： | 非自治 Liénard系统 有界性 渐近性 |
| 文章编号： | 1672-5174(2006)03-397-04 |
| 修稿时间： | 2005-10-08 |
Boundedness and Asymptotic Behavior of Solutions of a Second Order Nonautonomous System |
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| SUN Shu. Boundedness and Asymptotic Behavior of Solutions of a Second Order Nonautonomous System[J]. Periodical of Ocean University of China, 2006, 36(3): 397-400 |
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| Authors: | SUN Shu |
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| Abstract: | In this paper, the boundedness and asymptotic behavior of solutions of a second order differential system =P(Q(y))-F(x)), =-g(x) e(t) are studied. Sufficient and necessary conditions for all solutions to be bounded and to converge to zero are given by constructing an assistant function. These results extend and include the corresponding results in the study of Pan Zhi-Gang, Yang Qi-Gui and Zhou Jin. |
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