Infinitely Many Periodic Solutions of Duffing Equations with Singularities via Time Map. (16th April 2014)

• Record Type: Journal Article
• Authors: Ma, Tiantian; Wang, Zaihong
• Other Names: Peng Shuangjie Academic Editor.
• Is Part Of: Abstract and applied analysis. Volume 2014(2014)
• Publication Date: 2014-04-16
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Applied Mathematics; Mathematical Analysis; Periodicals; 515.05
• DOI: 10.1155/2014/398512
• Languages: English
• ISSNs: 1085-3375

Abstract

Abstract : We study the periodic solutions of Duffing equations with singularities x ′′ + g ( x ) = p ( t ) . By using Poincaré-Birkhoff twist theorem, we prove that the given equation possesses infinitely many positive periodic solutions provided that g satisfies the singular condition and the time map related to autonomous system x ′′ + g ( x ) = 0 tends to zero.