scholarly journals Multiple periodic solutions of differential delay systems with $ 2k $ lags

2021 ◽  
Vol 6 (7) ◽  
pp. 6815-6832
Author(s):  
Li Zhang ◽  
◽  
Huihui Pang ◽  
Weigao Ge ◽  
◽  
...  
Keyword(s):  
Periodic Solutions ◽  
Delay Systems ◽  
Differential Delay ◽  
Multiple Periodic Solutions

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

2010 ◽  
Vol 2010 ◽  
pp. 1-14
Author(s):  
Rong Cheng ◽  
Jianhua Hu
Keyword(s):  
Periodic Solutions ◽  
Reduction Method ◽  
Coupled System ◽  
Existence Problem ◽  
Differential Delay Equation ◽  
Differential Delay ◽  
Differential Delay Equations ◽  
Multiple Periodic Solutions ◽  
Existence Of Periodic Solutions ◽  
Variational Approaches

The existence of multiple periodic solutions of the following differential delay equation is established by applying variational approaches directly, where , and 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.

scholarly journals Periodic solutions of some differential delay equations created by Hamiltonian systems

1999 ◽  
Vol 60 (3) ◽  
pp. 377-390 ◽  
Author(s):  
Jibin Li ◽  
Zhengrong Liu ◽  
Xuezhong He
Keyword(s):  
Periodic Solutions ◽  
Hamiltonian Systems ◽  
Sufficient Conditions ◽  
Delay Equations ◽  
Delay Systems ◽  
Differential Delay ◽  
Differential Delay Equations ◽  
Image Position

This paper is concerned with finding periodic solutions of differential delay systemsandwhere ri (i = 1, 2,…, n − 1) are positive constants. By using the theory of Hamiltonian systems, we obtain some sufficient conditions under which these systems have many periodic solutions with known periods.

On linear generalized neutral differential delay systems

2009 ◽  
Vol 346 (7) ◽  
pp. 691-704 ◽  
Author(s):  
Athanasios A. Pantelous ◽  
Grigoris I. Kalogeropoulos
Keyword(s):  
Delay Systems ◽  
Differential Delay
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