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Article Contents

# Boundedness in a class of duffing equations with oscillating potentials via the twist theorem

• In this paper, we prove the boundedness of all solutions and the existence of periodic and quasi-periodic solutions for the equation $\ddot{x}+x^{2n+1}+\sum_{j=0}^l x^j p_j (x,t)=0$, where $p_j (x,t)$ are smooth 1-periodic functions in both $x$ and $t$ with $n\geq 1, 0 \leq l \leq 2 n$.
Mathematics Subject Classification: 37J40, 34C27.

 Citation:

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