| 一类三阶非线性滞后微分系统的振动性态 |
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| 引用本文： | 计国君,周艳.一类三阶非线性滞后微分系统的振动性态[J].厦门大学学报(自然科学版),2004,43(Z1):344-348. |
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| 作者姓名： | 计国君 周艳 |
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| 作者单位： | 1. 厦门大学管理学院
2. 厦门大学经济学院,福建,厦门,361005 |
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| 摘 要： | 尽管线性微分系统已经有一系列的理论结果,但是其相应的具滞后的线性或者非线性系统的研究并不太多.本文讨论了一类非线性微分系统的振动性态.我们所用的分析方法比较简便且结论比已给出的结论要好.
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| 关 键 词： | 非线性滞后系统 振动 最终正解 最终负解 |
| 文章编号： | 0438-0479(2004)S-344-05 |
| 修稿时间： | 2004年5月6日 |
Oscillatory Behavior of A Class of Nonlinear Functional Differential Systems of Third Order |
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| JI Guo-jun,ZHOU Yan.Oscillatory Behavior of A Class of Nonlinear Functional Differential Systems of Third Order[J].Journal of Xiamen University(Natural Science),2004,43(Z1):344-348. |
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| Authors: | JI Guo-jun ZHOU Yan |
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| Institution: | JI Guo-jun~1,ZHOU Yan~2 |
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| Abstract: | Although a considerable amount of research has been done on the linear homogeneous differential equations of third order without time-delay, the corresponding linear or nonlinear functional differential equations are less studied. This paper investigates the oscillatory and nonoscillatory behavior of solutions of a class of third order nonlinear functional differential equations. Our techniques are better than those presented at appeared. Our results are first given in the literature. |
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| Keywords: | nonlinear time-delay systems oscillatory eventually positive solutions eventually negative solutions |
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