Variational Approaches for the Existence of Multiple Periodic Solutions of Differential Delay Equations

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...

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Bibliographic Details
Main Authors: Rong Cheng, Jianhua Hu
Format: Article
Language:English
Published: Wiley 2010-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2010/978137
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