[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 solutionsexistenceuniquenessDuffing 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