用扭转定理证明半线性Duffing方程解的有界性(英文)  

BOUNDEDNESS OF SOLUTIONS FOR SEMILINEAR DUFFING EQUATIONS VIA THE TWIST THEOREM

作　　者：邢秀梅[1] 谷丽[1] 

机构地区：[1]新疆伊犁师范学院数学系,伊宁835000

出　　处：《南京大学学报（数学半年刊）》2012年第2期163-175,共13页Journal of Nanjing University(Mathematical Biquarterly)

基　　金：Supported by the Fund of the Key Disciplines in the General Colleges and Universities of Xin Jiang Uygur Autonomous Region(Grant No2012ZDKK13)

摘　　要：本文证明了方程x″+λ~2x+x(1+x^2)^(-1/3)+sinx=e(t)解的有界性,其中λ满足Diophantine条件,e(t)是光滑的2π周期函数.In this paper, we are concerned with the boundedness of all solutions for the some semilinear Duffing equation x″ ＋ λ2x ＋ x（1 ＋ x^2 ） -1/3 ＋ cosx = e（t）, where λ satisfies the Diophantine condition, e（t） is a smooth 2π-periodic function.

关 键 词：哈密顿系统 典则变换 Moser扭转定理 

分 类 号：O241.8[理学—计算数学]