证明了一类Duffing方程:(x¨)+g(x)=e(t).的不变环面的存在性,从而得出所有的解都是有界的,其中e(t)是以1为周期的函数,函数g:R→R具有性质:当x≥d0时,g(x)是次线性的,当x≤-d0时,g(x)是半线性的,d0为一正常数.%We prove the existence of invariant tori and thus the boundedness of all solutions and the existence of quasiperiodic solutions for a class of Duffing equation (x¨)+g(x)=e(t). where e(t) is of period 1,and g:R→R prossesses the characters : g(x) is sublinear when x≥d0,d0 is a positive constant and g(x) is semilinear when x≤-d0.
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