Conditions for the existence of periodic solutions to integrable two-dimensional Hamiltonian systems

1991 ◽  
Vol 43 (12) ◽  
pp. 7043-7045
Author(s):  
S. Ichtiaroglou ◽  
G. Voyatzis ◽  
E. Meletlidou
2016 ◽  
Vol 32 (5) ◽  
pp. 621-632 ◽  
Author(s):  
Wei Ding ◽  
Ding Bian Qian ◽  
Chao Wang ◽  
Zhi Guo Wang

2014 ◽  
Vol 2014 ◽  
pp. 1-7
Author(s):  
Xiaofang Meng ◽  
Yongkun Li

We are concerned with a class of singular Hamiltonian systems on time scales. Some results on the existence of periodic solutions are obtained for the system under consideration by means of the variational methods and the critical point theory.


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