Boundedness of Solutions for a Class of Second-Order Periodic Systems. (12th December 2013)

• Record Type: Journal Article
• Authors: Jiang, Shunjun; Ding, Yan
• Other Names: Rogovchenko Yuriy Academic Editor.
• Is Part Of: Abstract and applied analysis. Volume 2013(2013)
• Publication Date: 2013-12-12
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Applied Mathematics; Mathematical Analysis; Periodicals; 515.05
• DOI: 10.1155/2013/267572
• Languages: English
• ISSNs: 1085-3375

Abstract

Abstract : In this paper we study the following second-order periodic system: x ′′ + V ′ ( x ) + p ( x, t ) = 0, where V ( x ) has a singularity. Under some assumptions on the V ( x ) and p ( x, t ) by Ortega' small twist theorem, we obtain the existence of quasi-periodic solutions and boundedness of all the solutions.