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Oscillatory Periodic Solutions for Two Differential-Difference Equations Arising in Applications
Author
Source
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-04-28
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
We study the existence of oscillatory periodic solutions for two nonautonomous differential-difference equations which arise in a variety of applications with the following forms: ẋ(t)=-f(t,x(t-r)) and ẋ(t)=-f(t,x(t-s))-f(t,x(t-2s)), where f∈C(R×R,R) is odd with respect to x, and r,s>0 are two given constants.
By using a symplectic transformation constructed by Cheng (2010) and a result in Hamiltonian systems, the existence of oscillatory periodic solutions of the above-mentioned equations is established.
American Psychological Association (APA)
Cheng, Rong. 2011. Oscillatory Periodic Solutions for Two Differential-Difference Equations Arising in Applications. Abstract and Applied Analysis،Vol. 2011, no. 2011, pp.1-12.
https://search.emarefa.net/detail/BIM-487002
Modern Language Association (MLA)
Cheng, Rong. Oscillatory Periodic Solutions for Two Differential-Difference Equations Arising in Applications. Abstract and Applied Analysis No. 2011 (2011), pp.1-12.
https://search.emarefa.net/detail/BIM-487002
American Medical Association (AMA)
Cheng, Rong. Oscillatory Periodic Solutions for Two Differential-Difference Equations Arising in Applications. Abstract and Applied Analysis. 2011. Vol. 2011, no. 2011, pp.1-12.
https://search.emarefa.net/detail/BIM-487002
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-487002