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

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 necess...

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Bibliographic Details
Published in:Abstract and Applied Analysis
Main Authors: Tingting Zhang, Jianguo Si
Format: Article
Language:English
Published: Wiley 2013-01-01
Online Access:http://dx.doi.org/10.1155/2013/246343