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- W2504731729 abstract "In this paper, we prove the boundedness of all the solutions for the equation $ddot{x}+n^2x+g(x)+psi'(x)=p(t)$ with the Lazer-Leach condition on $g$ and $p$, where $nin mathbb{N^+}$, $p(t)$ and $psi'(x)$ are periodic and $g(x)$ is bounded. For the critical situation that $big |int_0^{2pi}p(t)e^{int}dt big|=2big|g(+infty)-g(-infty)big|$, we also prove a sufficient and necessary condition for the boundedness if $psi'(x)equiv0$." @default.
- W2504731729 created "2016-08-23" @default.
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- W2504731729 date "2013-12-06" @default.
- W2504731729 modified "2023-09-27" @default.
- W2504731729 title "Boundedness of semilinear Duffing equations at resonance with oscillating nonlinearities" @default.
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