Boundedness of solutions in asymmetric oscillations via the twist theorem

被引:4
作者
Wang, YQ [1 ]
机构
[1] Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100080, Peoples R China
来源
ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2001年 / 17卷 / 02期
关键词
boundedness; asymmetric; canonical transformation; twist theorem;
D O I
10.1007/s101140000043
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper we consider the boundedness of all the solutions for the equation x" + ax(+) -bx(-) = f(t). where f(t) is a smooth 2 pi -periodic function, a and b are positive constants (a not equal b).
引用
收藏
页码:313 / 318
页数:6
相关论文
共 12 条
[1]   Roots of unity and unbounded motions of an asymmetric oscillator [J].
Alonso, JM ;
Ortega, R .
JOURNAL OF DIFFERENTIAL EQUATIONS, 1998, 143 (01) :201-220
[3]  
Dieckerhoff R., 1987, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4), V14, P79
[4]  
Fucik S., 1980, SOLVABILITY NONLINEA
[5]   RESONANCE FOR JUMPING NONLINEARITIES [J].
GALLOUET, T ;
KAVIAN, O .
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 1982, 7 (03) :325-342
[6]   JUMPING NONLINEARITIES FOR NEUMANN BVPS WITH POSITIVE FORCING [J].
HABETS, P ;
RAMOS, M ;
SANCHEZ, L .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1993, 20 (05) :533-549
[7]   A SEMI-FREDHOLM PRINCIPLE FOR PERIODICALLY FORCED SYSTEMS WITH HOMOGENEOUS NONLINEARITIES [J].
LAZER, AC ;
MCKENNA, PJ .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1989, 106 (01) :119-125
[8]   QUASI-PERIODIC MOTIONS IN SUPERQUADRATIC TIME-PERIODIC POTENTIALS [J].
LEVI, M .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1991, 143 (01) :43-83
[9]   Boundedness of solutions for semilinear Duffing equations [J].
Liu, B .
JOURNAL OF DIFFERENTIAL EQUATIONS, 1998, 145 (01) :119-144
[10]   Boundedness in asymmetric oscillations [J].
Liu, B .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1999, 231 (02) :355-373