Existence of 2π-periodic solutions for the non-dissipative Duffing equation under asymptotic behaviors of potential function

Existence of 2π-periodic solutions for the non-dissipative Duffing equation under asymptotic behaviors of potential function
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DOI:
10.1007/s00033-005-0019-4
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发表时间:
2005-11
期刊:
Zeitschrift für angewandte Mathematik und Physik ZAMP
影响因子:
--
通讯作者:
W. Liu;Y. Li
W. Liu;Y. Li
中科院分区:
其他
文献类型:
--
作者:
W. Liu;Y. Li

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本文利用位势在交叉共振点下的渐近行为,给出了非耗散强迫Duffing方程周期解的存在性条件,在一定程度上改进了一些已知结果.
In this paper,we give the existence conditions of periodic solutions for non-dissipative forced Duffing equations by asymptotic behaviors of potential under crossing resonant points, improving some known results to some extent.