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- W2318053607 abstract "We introduce a new method for the boundedness problem ofsemilinear Duffing equations at resonance. In particular, it canbe used to study a class of semilinear equations at resonancewithout the polynomial-like growth condition. As an application,we prove the boundedness of all the solutions for the equation$ddot{x}+n^2x+g(x)+psi(x)=p(t)$ under the Lazer-Leach condition on $g$ and $p$, where $nin mathbb{N^+}$, $p(t)$ and $psi(x)$ are periodic and $g(x)$ is bounded." @default.
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- W2318053607 date "2016-03-01" @default.
- W2318053607 modified "2023-09-23" @default.
- W2318053607 title "A new method for the boundedness of semilinear Duffing equations at resonance" @default.
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- W2318053607 doi "https://doi.org/10.3934/dcds.2016.36.3961" @default.
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