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, issue 1

Abstract: We study the boundedness of all solutions for the following differential equation x′′ + f(x)x′ + (B + εe(t)) | x|α−1x = p(t), where f(x), p(t) are odd functions, e(t) is an even function, e(t), p(t) are smooth 1‐periodic functions, B is a nonzero constant, and ε 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
References: Add references at CitEc
Citations:

Downloads: (external link)
https://doi.org/10.1155/2013/246343

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:246343

Access Statistics for this article

More articles in Abstract and Applied Analysis from John Wiley & Sons
Bibliographic data for series maintained by Wiley Content Delivery ().