Boundedness of Solutions for a Class of Sublinear Reversible Oscillators with Periodic Forcing

Boundedness of Solutions for a Class of Sublinear Reversible Oscillators with Periodic Forcing
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一类具有周期性强迫的次线性可逆振荡器解的有界性

DOI:
10.1155/2013/246343
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发表时间:
2013-06
影响因子:
--
通讯作者:
Jianguo Si
Jianguo Si
中科院分区:
--
文献类型:
--
作者:
Tingting Zhang;Jianguo Si

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We study the boundedness of all solutions for the following differential equation where are odd functions, is an even function, are smooth -periodic functions, is a nonzero constant, and is a small parameter. A sufficient and necessary condition for the boundedness of all solutions of the above equation is established. Moreover, the existence of Aubry-Mather sets is obtained as well.
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