Periodic Solutions of Duffing Equation with an Asymmetric Nonlinearity and a Deviating Argument
Joint Authors
Ma, Tiantian
Wang, Zaihong
Li, Jin
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-11-21
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
We study the existence of periodic solutions of the second-order differential equation x′′+ax+-bx-+g(x(t-τ))=p(t), where a,b are two constants satisfying 1/a+1/b=2/n, n∈N, τ is a constant satisfying 0≤τ<2π, g,p:R→R are continuous, and p is 2π-periodic.
When the limits limx→±∞g(x)=g(±∞) exist and are finite, we give some sufficient conditions for the existence of 2π-periodic solutions of the given equation.
American Psychological Association (APA)
Wang, Zaihong& Li, Jin& Ma, Tiantian. 2013. Periodic Solutions of Duffing Equation with an Asymmetric Nonlinearity and a Deviating Argument. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-477180
Modern Language Association (MLA)
Wang, Zaihong…[et al.]. Periodic Solutions of Duffing Equation with an Asymmetric Nonlinearity and a Deviating Argument. Abstract and Applied Analysis No. 2013 (2013), pp.1-8.
https://search.emarefa.net/detail/BIM-477180
American Medical Association (AMA)
Wang, Zaihong& Li, Jin& Ma, Tiantian. Periodic Solutions of Duffing Equation with an Asymmetric Nonlinearity and a Deviating Argument. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-477180
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-477180