scholarly journals Multiple periodic solutions of high order differential delay equations with 2 k − 1 $2k-1$ lags

2019 ◽  
Vol 2019 (1) ◽  
Author(s):  
Lin Li ◽  
Huafei Sun ◽  
Weigao Ge
Keyword(s):  
Periodic Solutions ◽  
High Order ◽  
Delay Equations ◽  
Differential Delay ◽  
Differential Delay Equations ◽  
Multiple Periodic Solutions

On the Number of Periodic Solutions to Kaplan–Yorke-like High Order Differential Delay Equations with 2k Lags

2019 ◽  
Vol 29 (14) ◽  
pp. 1950196 ◽  
Author(s):  
Lin Li ◽  
Huafei Sun ◽  
Weigao Ge
Keyword(s):  
Variational Method ◽  
Periodic Solutions ◽  
Theoretical Basis ◽  
High Order ◽  
Delay Equations ◽  
Differential Delay ◽  
Differential Delay Equations ◽  
Coupling System ◽  
New Type

In this paper, we study the periodic solutions of high order differential delay equations with [Formula: see text] lags. And the [Formula: see text]-periodic solutions are obtained by using the variational method and the method of Kaplan–Yorke coupling system. This is a new type of differential delay equations compared with all previous researches. And it provides a theoretical basis for the study of differential delay equations. An example is given to demonstrate our main results.

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