Boundedness for sublinear reversible systems with a nonlinear damping and periodic forcing term
Boundedness for sublinear reversible systems with a nonlinear damping and periodic forcing term
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DOI：
10.1016/j.jmaa.2010.12.038
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发表时间：
2011-06
影响因子：
1.3
通讯作者：
Xinping Wang
中科院分区：
文献类型：
--
作者：
Xinping Wang
In this paper, we are concerned with the sublinear reversible systems with a nonlinear damping and periodic forcing term where f(x), p(t) are odd functions, p(t) is smooth 1-periodic function and γ≠0 is a constant. A sufficient and necessary condition for the boundedness of all solutions of the above equation is established. Moreover, we show the existence of Aubry–Mather sets as well.
