Boundedness for sublinear Duffing equations with time-dependent potentials☆

Boundedness for sublinear Duffing equations with time-dependent potentials☆
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DOI:
10.1016/j.jde.2008.12.024
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发表时间:
2009-07
影响因子:
2.4
通讯作者:
Yiqian Wang
Yiqian Wang
中科院分区:
数学2区
文献类型:
--
作者:
Yiqian Wang

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本文证明了次线性方程x¨+e(t)的所有解有界的一个充要条件|X| α−1x=p(t),其中0<α<1,p(t)和e(t)是光滑的1-周期函数。
In this paper, we prove a sufficient and necessary condition for the boundedness of all solutions for the sublinear equation x¨+e(t)|x|α−1x=p(t), where 0<α<1, p(t) and e(t) are smooth 1-periodic functions.