[1]李宇尘,张康群.一类Duffing方程周期解的存在唯一性[J].南京师范大学学报(自然科学版),2016,39(03):16.[doi:10.3969/j.issn.1001-4616.2016.03.003]
　Li Yuchen,Zhang Kangqun.The Existence and Uniqueness of Periodic Solution toa Class of Duffing Equations[J].Journal of Nanjing Normal University(Natural Science Edition),2016,39(03):16.[doi:10.3969/j.issn.1001-4616.2016.03.003]
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一类Duffing方程周期解的存在唯一性()
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《南京师范大学学报》（自然科学版）[ISSN:1001-4616/CN:32-1239/N]

卷:
第39卷
期数:
2016年03期
页码:
16
栏目:
·特约稿·
出版日期:
2016-09-30

文章信息/Info

Title:
The Existence and Uniqueness of Periodic Solution toa Class of Duffing Equations
文章编号:
1001-4616（2016）03-0016-06
作者:
李宇尘; 张康群
南京工程学院数理部，江苏 南京 210003
Author(s):
Li Yuchen;  Zhang Kangqun
Department of Mathematics and Physics，Nanjing Institute of Technology，Nanjing 211167，China
关键词:
周期解; 存在性; 唯一性; Duffing方程
Keywords:
periodic solutions; existence; uniqueness; Duffing equations
分类号:
O175.14
DOI:
10.3969/j.issn.1001-4616.2016.03.003
文献标志码:
A
摘要:
讨论了Duffing方程周期解的存在性和稳定性问题.文中用不同的方法给出的结论比Lazer和McKenna［1］的更灵活和方便，且文献［1］的结论是本文的特殊情形，并给出了界的精确公式.
Abstract:
This paper is to study the problem of the existence and uniqueness of periodic solution to Duffing equations，using different method to make the conclusion more flexible，and the conclusion of ref.［1］is the special case of this pape. Also，it gives the precise formula about the bound.

参考文献/References:

［1］ LAZER A C，MCKENNA P J. On the existence of stable periodic solutions of differential equations of Duffing type［J］. Proc Amer Math Soc，1990，110：125-133.
［2］ LOUD W S. Periodic solutions of nonlinear differential equations of Duffing type［C］//Proceedings of the U.S.-Japan seminar on differential and functional equations. New York：Benjamin，1967：199-224.
［3］ DOLPH C L. Nonlinear integral equations of the Hammerstein type［J］. Trans Amer Math Soc，1949，66：289-307.
［4］ 郭大钧. 非线性泛函分析［M］. 济南：山东科学技术出版社，2001.

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备注/Memo

备注/Memo:
收稿日期：2015-12-10.　
基金项目：国家自然科学基金天元基金项目(11326152)、南京工程学院科学研究基金（YKJ201339）.　
通讯联系人：李宇尘，博士，讲师，研究方向：偏微分方程. E-mail：yuchenli@njit.edu.cn
更新日期/Last Update: 2016-09-30