[1]江正仙,黄文华.一类非C2扰动泛函的Duffing方程组边值问题解的研究[J].南京师大学报(自然科学版),2012,35(03):25-30.
　Jiang Zhengxian,Huang Wenhua.Study on the Solutions of the Boundary Value Problems of a Class of Duffing Systems With Non-C2 Perturbation Functional[J].Journal of Nanjing Normal University(Natural Science Edition),2012,35(03):25-30.
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一类非C2扰动泛函的Duffing方程组边值问题解的研究()
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《南京师大学报（自然科学版）》[ISSN:1001-4616/CN:32-1239/N]

卷:
第35卷
期数:
2012年03期
页码:
25-30
栏目:
数学
出版日期:
2012-09-20

文章信息/Info

Title:
Study on the Solutions of the Boundary Value Problems of a Class of Duffing Systems With Non-C2 Perturbation Functional
作者:
江正仙;黄文华;
江南大学理学院，江苏无锡214122
Author(s):
Jiang Zhengxian; Huang Wenhua
School of Sciences,Jiangnan University,Wuxi 214122,China
关键词:
Hilbert 空间; 解的存在惟一性; minimax 定理; Duffing 方程组; 谱
Keywords:
Hilbert space; existence and uniqueness solution; minimax theorem; Duffing system; spectrum
分类号:
O175.8
摘要:
研究了Duffing方程组的边值问题,利用黄文华和沈祖和2005年在Nonlinear Analysis TMA中证明的minimax定理研究这一问题的惟一解的存在性,给出了一个存在惟一性定理.
Abstract:
This paper deals with a boundary value problem for Duffing system． The existence of unique solution for the problem is studied by using a minimax theorem proved by Huang Wenhua and Shen Zuhe in Nonlinear Analysis TMA ( 2005) ． An existence and uniqueness result was presented．

参考文献/References:

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［7］ Stepan A Tersian． A minimax theorem and applications to nonresonance problems for semilinear equations［J］． Nonlinear Anal TMA， 1986， 10( 7) : 651-668．［8］ Huang Wenhua，Shen Zuhe． Two minimax theorems and the solutions of semilinear equations under the asymptotic non-uniformity conditions［J］． Nonlinear Anal TMA， 2005， 63( 8) : 1 199-1 214．
［9］ Huang Wenhua． Minimax theorems and applications to the existence and uniqueness of solutions of some differential equations ［J］． J Math Anal Appl， 2006， 322( 2) : 629-644．
［10］ Huang Wenhua． A minimax theorem for the quasi-convex functional and the solution of the nonlinear beam equation［J］． Nonlinear Anal TMA， 2006， 64( 8) : 1 747-1 756．
［11］ Huang Wenhua，Shen Zuhe． A minimax theorem and the uniqueness of solution of a class of second order Hamilton systems ［J］． Pure and Applied Mathematics， 2007， 23( 4) : 480-486．
［12］ Zhou Ting，Huang Wenhua． The existence and uniqueness of solution of Duffing equations with non-C2 perturbation functional at nonresonance［J］． Hindawi Publishing Corporation Boundary Value Problems，2008，ID859461．

备注/Memo

备注/Memo:
基金项目: 江南大学青年基金( 2009LQN09) 、中央高校基本科研业务费专项资金( JUSRP211A21) ．通讯联系人: 黄文华，教授，研究方向: 非线性微分方程边值问题． E-mail: hpjiangyue@163． com
更新日期/Last Update: 2013-03-11