用扭转定理证明半线性Duffing方程解的有界性

摘要

In this paper,we are concerned with the boundedness of all solutions for the some semilinear Duffing equation x"+λ2x + x(1 + x2)-1/3 + cosx =e(t),where λ satisfies the Diophantine condition,e(t) is a smooth 2π-periodic function.%本文证明了方程x''+λ2x+x(1+x2)-1/3+sin x=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.