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Invariant Tori and Boundedness inAsymmetric Oscillations
Authors:Xin?Ping?Wang  author-information"  >  author-information__contact u-icon-before"  >  mailto:xpwang@math.pku.edu.cn"   title="  xpwang@math.pku.edu.cn"   itemprop="  email"   data-track="  click"   data-track-action="  Email author"   data-track-label="  "  >Email author
Affiliation:(1) School of Mathematics Sciences, Beijing University, Beijing, 100871, P. R. China
Abstract:Abstract   In this paper, we are concerned with the boundedness of all the solutions of the equation
$$ {x}' + ax^{ + } - bx^{ - } + phi {left( x right)} = p{left( t right)} $$
, where p(t) is a smooth 2π-periodic function, a and b are positive constants, and the perturbation φ(x) is bounded.
Keywords:  KeywordHeading"  > Boundedness of solutions  Quasi-periodic solutions  Moser’  s small twist theorem
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