Invariant tori in nonlinear oscillations  

作　　者：柳彬 王奕倩 

出　　处：《Science China Mathematics》1999年第10期1047-1058,共12页中国科学：数学（英文版）

基　　金：Project supported by the National Natural Science Foundation of China (Grant No. 19731003).

摘　　要：The boundedness of all the solutions for semilinear Duffing equationx″ + ω2 x + φ(x) =p(t), ω ∈ ?+? is proved, wherep (t) is a smooth 2π-periodic function and the perturbation ?(x) is bounded.The boundedness of all the solutions for semilinear Duffing equation x″+ω~2x+φ(x)=p(t),ω∈R^+\(?) is proved, where p(t) is a smooth 2π-periodic function and the perturbation φ(x) is

关 键 词：INVARIANT TORI SEMILINEAR DUFFING EQUATIONS BOUNDEDNESS of solutions. 

分 类 号：O175[理学—数学]