| 一类二阶微分方程周期解的存在性 |
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| 引用本文： | 易美香,唐美兰,刘心歌. 一类二阶微分方程周期解的存在性[J]. 邵阳学院学报(自然科学版), 2005, 2(1): 8-10 |
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| 作者姓名： | 易美香 唐美兰 刘心歌 |
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| 作者单位： | 1. 湖南信息职业技术学院,湖南,望城,410200
2. 中南大学,数学科学与计算技术学院,湖南,长沙,410083 |
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| 摘 要： | 采用精确的先验估计，利用重合度理论研究了二阶微分方程的周期解，得到了方程至少存在一个周期解的充分条件，推广和改进了文中相应的结论．
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| 关 键 词： | 二阶微分方程 周期解 重合度 |
| 文章编号： | 1672-7010(2005)01-0008-03 |
| 修稿时间： | 2004-12-20 |
On existence of periodic solution for a Class of second order differential equations |
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| YI Mei-xiang,TANG Mei-lan,LIU Xin-ge. On existence of periodic solution for a Class of second order differential equations[J]. Journal of Shaoyang University(Natural Science Edition), 2005, 2(1): 8-10 |
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| Authors: | YI Mei-xiang TANG Mei-lan LIU Xin-ge |
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| Abstract: | Using better prior estimate ,the throry of Brouwer degree and coincidence degree, the existence of periodic solution of a kind of second order differential equations is studied. some sufficient conditions for the existence of periodic solutions of the equations are obtained ,which is a improvement of the theorem in the paper. |
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| Keywords: | second order differential equations periodic solution topology degree coincidence degree |
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