Boundedness of Solutions for a Class of Sublinear Reversible Oscillators with Periodic Forcing
Joint Authors
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-18, 18 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-06-11
Country of Publication
Egypt
No. of Pages
18
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Zhang, Tingting& Si, Jianguo. 2013. Boundedness of Solutions for a Class of Sublinear Reversible Oscillators with Periodic Forcing. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-18.
https://search.emarefa.net/detail/BIM-456995
Modern Language Association (MLA)
Zhang, Tingting& Si, Jianguo. Boundedness of Solutions for a Class of Sublinear Reversible Oscillators with Periodic Forcing. Abstract and Applied Analysis No. 2013 (2013), pp.1-18.
https://search.emarefa.net/detail/BIM-456995
American Medical Association (AMA)
Zhang, Tingting& Si, Jianguo. Boundedness of Solutions for a Class of Sublinear Reversible Oscillators with Periodic Forcing. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-18.
https://search.emarefa.net/detail/BIM-456995
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-456995