Multiple periodic solutions for non-canonical Hamiltonian systems with application to differential delay equations

2014 ◽  
Vol 57 (8) ◽  
pp. 1625-1638 ◽  
Author(s):  
Rong Cheng ◽  
JunXiang Xu ◽  
FuBao Zhang
Keyword(s):  
Periodic Solutions ◽  
Hamiltonian Systems ◽  
Delay Equations ◽  
Differential Delay ◽  
Differential Delay Equations ◽  
Multiple Periodic Solutions

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 ◽  
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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.

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