Infinitely Many Periodic Solutions of Duffing Equations with Singularities via Time Map
Joint Authors
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-04-16
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Ma, Tiantian& Wang, Zaihong. 2014. Infinitely Many Periodic Solutions of Duffing Equations with Singularities via Time Map. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-1013859
Modern Language Association (MLA)
Ma, Tiantian& Wang, Zaihong. Infinitely Many Periodic Solutions of Duffing Equations with Singularities via Time Map. Abstract and Applied Analysis No. 2014 (2014), pp.1-8.
https://search.emarefa.net/detail/BIM-1013859
American Medical Association (AMA)
Ma, Tiantian& Wang, Zaihong. Infinitely Many Periodic Solutions of Duffing Equations with Singularities via Time Map. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-1013859
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1013859