Harmonic and subharmonic solutions for superlinear damped Duffing equation

被引：11
作者：
Cheng, Zhibo [1 ,2 ]
Ren, Jingli [1 ]
机构：
[1] Zhengzhou Univ, Dept Math, Zhengzhou 450001, Peoples R China
[2] Henan Polytech Univ, Sch Math & Informat, Jiaozuo 454000, Peoples R China
来源：
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2013年 / 14卷 / 02期
关键词：
Harmonic and subharmonic solutions; Twisting theorem; Time map; Damped Duffing equation; POINCARE-BIRKHOFF THEOREM; PERIODIC-SOLUTIONS; BOUNDEDNESS; EXISTENCE; SINGULARITIES; RESONANCE; STABILITY;
D O I：
10.1016/j.nonrwa.2012.09.007
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is devoted to the existence of harmonic and subharmonic solutions for a damped Duffing equation. Our proofs are based on a twisting theorem due to W.Y. Ding. (C) 2012 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1155 / 1170
页数：16
相关论文
共 21 条
[1]   Bifurcation and stability of periodic solutions of Duffing equations [J].
Chen, Hongbin ;
Li, Yi .
NONLINEARITY, 2008, 21 (11) :2485-2503
[2]   Rate of decay of stable periodic solutions of Duffing equations [J].
Chen, Hongbin ;
Li, Yi .
JOURNAL OF DIFFERENTIAL EQUATIONS, 2007, 236 (02) :493-503
[3]  
Chen HB, 2007, DISCRETE CONT DYN-A, V18, P793
[4]   PERIODIC AND SUBHARMONIC SOLUTIONS FOR DUFFING EQUATION WITH A SINGULARITY [J].
Cheng, Zhibo ;
Ren, Jingli .
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2012, 32 (05) :1557-1574
[5]   PERIODIC-SOLUTIONS OF DUFFINGS EQUATIONS WITH SUPERQUADRATIC POTENTIAL [J].
DING, T ;
ZANOLIN, F .
JOURNAL OF DIFFERENTIAL EQUATIONS, 1992, 97 (02) :328-378
[6]   EXISTENCE AND MULTIPLICITY RESULTS FOR PERIODIC-SOLUTIONS OF SEMILINEAR DUFFING EQUATIONS [J].
DING, TR ;
IANNACCI, R ;
ZANOLIN, F .
JOURNAL OF DIFFERENTIAL EQUATIONS, 1993, 105 (02) :364-409
[7]  
Ding W., 1982, Acta Math. Sin., V25, P227
[8]   A GENERALIZATION OF THE POINCARE-BIRKHOFF THEOREM [J].
DING, WY .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1983, 88 (02) :341-346
[9]   SUBHARMONIC SOLUTIONS FOR SOME 2ND-ORDER DIFFERENTIAL-EQUATIONS WITH SINGULARITIES [J].
FONDA, A ;
MANASEVICH, R ;
ZANOLIN, F .
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1993, 24 (05) :1294-1311
[10]   EXISTENCE OF PERIODIC-SOLUTIONS OF DUFFING EQUATIONS [J].
HABETS, P ;
METZEN, G .
JOURNAL OF DIFFERENTIAL EQUATIONS, 1989, 78 (01) :1-32
123