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

Tingting Zhang and Jianguo Si

Abstract and Applied Analysis, 2013, vol. 2013, 1-18

Abstract:

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.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:246343

DOI: 10.1155/2013/246343

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