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The Existence and Uniqueness of Periodic Solution toa Class of Duffing Equations(PDF)

《南京师大学报（自然科学版）》[ISSN:1001-4616/CN:32-1239/N]

Issue:
2016年03期
Page:
16-
Research Field:
·特约稿·
Publishing date:

Info

Title:
The Existence and Uniqueness of Periodic Solution toa Class of Duffing Equations
Author(s):
Li Yuchen;  Zhang Kangqun
Department of Mathematics and Physics，Nanjing Institute of Technology，Nanjing 211167，China
Keywords:
periodic solutions; existence; uniqueness; Duffing equations
PACS:
O175.14
DOI:
10.3969/j.issn.1001-4616.2016.03.003
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.

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.

Memo

Memo:
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Last Update: 2016-09-30