Infinitely Many Periodic Solutions of Duffing Equations with Singularities via Time Map

Joint Authors

Ma, Tiantian
Wang, Zaihong

Source

Abstract and Applied Analysis

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

Mathematics

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