scholarly journals Multiple periodic solutions of delay differential systems with $2k-1$ lags via variational approach

2016 ◽  
Vol 36 (9) ◽  
pp. 4925-4943 ◽  
Author(s):  
Weigao Ge ◽  
Li Zhang
Keyword(s):  
Periodic Solutions ◽  
Variational Approach ◽  
Differential Systems ◽  
Multiple Periodic Solutions ◽  
Delay Differential Systems ◽  
Delay Differential

EXISTENCE AND BIFURCATION OF PERIODIC SOLUTIONS OF THREE-DIMENSIONAL DELAY DIFFERENTIAL EQUATIONS

2004 ◽  
Vol 14 (11) ◽  
pp. 3921-3929 ◽  
Author(s):  
PING BI ◽  
MAOAN HAN
Keyword(s):  
Differential Equations ◽  
Periodic Solutions ◽  
Delay Differential Equations ◽  
Three Dimensional ◽  
Hopf Bifurcations ◽  
Differential Systems ◽  
Delay Differential Systems ◽  
Delay Differential

In this paper, we develop Kaplan–Yorke's method and consider the existence of 2r/(2k+1)-periodic solutions for certain three-dimensional delay differential systems. We also study Hopf bifurcations of this kind of periodic solutions for the system with a parameter and present some application examples of our main results.

scholarly journals Multiple Positive Periodic Solutions for Delay Differential System

2009 ◽  
Vol 2009 ◽  
pp. 1-18 ◽  
Author(s):  
Zhao-Cai Hao ◽  
Ti-Jun Xiao ◽  
Jin Liang
Keyword(s):  
Positive Integer ◽  
Periodic Solutions ◽  
Differential System ◽  
Existence Results ◽  
Positive Periodic Solutions ◽  
Differential Systems ◽  
Delay Differential System ◽  
Delay Differential Systems ◽  
Delay Differential

We obtain some existence results for multiple positive periodic solutions of some delay differential systems. Examples are presented as applications. For a general positive integerm≥2, main results of this paper do not appear in former literatures as we know. Comparing with the existing results, our results are new also whenm=1.

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