Variational Approaches for the Existence of Multiple Periodic Solutions of Differential Delay Equations
Joint Authors
Source
Issue
Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2010-02-09
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
The existence of multiple periodic solutions of the following differential delay equation x′(t)=−f(x(t−r)) is established by applying variational approaches directly, where x∈ℝ, f∈C(ℝ,ℝ) and r>0 is a given constant.
This means that we do not need to use Kaplan and Yorke's reduction technique to reduce the existence problem of the above equation to an existence problem for a related coupled system.
Such a reduction method introduced first by Kaplan and Yorke in (1974) is often employed in previous papers to study the existence of periodic solutions for the above equation and its similar ones by variational approaches.
American Psychological Association (APA)
Cheng, Rong& Hu, Jianhua. 2010. Variational Approaches for the Existence of Multiple Periodic Solutions of Differential Delay Equations. Abstract and Applied Analysis،Vol. 2010, no. 2010, pp.1-14.
https://search.emarefa.net/detail/BIM-513013
Modern Language Association (MLA)
Cheng, Rong& Hu, Jianhua. Variational Approaches for the Existence of Multiple Periodic Solutions of Differential Delay Equations. Abstract and Applied Analysis No. 2010 (2010), pp.1-14.
https://search.emarefa.net/detail/BIM-513013
American Medical Association (AMA)
Cheng, Rong& Hu, Jianhua. Variational Approaches for the Existence of Multiple Periodic Solutions of Differential Delay Equations. Abstract and Applied Analysis. 2010. Vol. 2010, no. 2010, pp.1-14.
https://search.emarefa.net/detail/BIM-513013
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-513013