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2013 Boundedness of Solutions for a Class of Sublinear Reversible Oscillators with Periodic Forcing
Tingting Zhang, Jianguo Si
Abstr. Appl. Anal. 2013: 1-18 (2013). DOI: 10.1155/2013/246343

Abstract

We study the boundedness of all solutions for the following differential equation x + f ( x ) x + ( B + ε e ( t ) ) | x | α - 1 x = 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.

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Tingting Zhang. Jianguo Si. "Boundedness of Solutions for a Class of Sublinear Reversible Oscillators with Periodic Forcing." Abstr. Appl. Anal. 2013 1 - 18, 2013. https://doi.org/10.1155/2013/246343

Information

Published: 2013
First available in Project Euclid: 27 February 2014

zbMATH: 1296.34084
MathSciNet: MR3065765
Digital Object Identifier: 10.1155/2013/246343

Rights: Copyright © 2013 Hindawi

Vol.2013 • 2013
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