| 一类二阶时滞微分方程的周期解存在性 |
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| 引用本文： | 向昭红. 一类二阶时滞微分方程的周期解存在性[J]. 佛山科学技术学院学报(自然科学版), 2001, 19(3): 1-5 |
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| 作者姓名： | 向昭红 |
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| 作者单位： | 长沙大学数学与计算机系 |
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| 摘 要： | 考虑二阶时滞微分方程x″（t) ax′（t) g(x(t-τ1),x′（t-τ2))=p(t),利用拓扑度和重合度理论得到了此方程至少存在一个2π周期解的充分条件。
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| 关 键 词： | 二阶时滞方程 周期解 拓扑度和重合度理论 |
| 文章编号： | 1008-0171(2001)03-0001-05 |
| 修稿时间： | 2001-05-15 |
The existence of periodic solutions of the second order differential equations |
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| XIANG Zhao hong. The existence of periodic solutions of the second order differential equations[J]. Journal of Foshan University(Natural Science Edition), 2001, 19(3): 1-5 |
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| Authors: | XIANG Zhao hong |
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| Abstract: | Using the theory of Brouwer degree and coincidence degree,we study the periodic solutions of a kind of second order differential equations and obtain some sufficient conditions for the existence of periodic solutions of the equations. |
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| Keywords: | second differential equations periodic solutions topology degree coincidence degree |
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