| 一类二阶具偏差变元的微分方程周期解的存在性 |
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| 引用本文： | 朱艳玲,鲁世平.一类二阶具偏差变元的微分方程周期解的存在性[J].数学研究,2005,38(4):354-360. |
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| 作者姓名： | 朱艳玲 鲁世平 |
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| 作者单位： | 安徽师范大学数学与计算机科学学院,安徽,芜湖,241000 |
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| 基金项目： | Supported by Special Natural Science Foundation of Anhui Normal University(2002zx001) |
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| 摘 要： | 利用重合度理论研究一类二阶具偏差变元的微分方程x″(t)=f(t,x(t),x(t-τ(t)))+e(t)的周期解问题,得到了周期解存在的充分条件.
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| 关 键 词： | 周期解 偏差变元 重合度理论 |
| 修稿时间： | 2004年12月8日 |
On the Existence of Periodic Solutions for a Kind of the Second Order Differential Equation with a Deviating Argument |
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| Zhu Yanling,Lu Shiping.On the Existence of Periodic Solutions for a Kind of the Second Order Differential Equation with a Deviating Argument[J].Journal of Mathematical Study,2005,38(4):354-360. |
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| Authors: | Zhu Yanling Lu Shiping |
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| Abstract: | By using the theory of coincidence degree, we study a kind of periodic solutions of the second order differential equation with a deviating argument x″(t)=f(t,x(t),x(t-τ(t)))+e(t), some sufficient conditions on the existence of periodic solutions are obtained. |
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| Keywords: | Periodic solution deviating argument theory of coincidence degree |
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