Periodic solutions of singular Hamiltonian systems with prescribed energy

2005 ◽  
Vol 63 (5-7) ◽  
pp. e1039-e1049
Author(s):  
Shinji Adachi
Keyword(s):  
Periodic Solutions ◽  
Hamiltonian Systems ◽  
Singular Hamiltonian Systems

scholarly journals Periodic Solutions for a Class of Singular Hamiltonian Systems on Time Scales

2014 ◽  
Vol 2014 ◽  
pp. 1-7
Author(s):  
Xiaofang Meng ◽  
Yongkun Li
Keyword(s):  
Variational Methods ◽  
Critical Point ◽  
Periodic Solutions ◽  
Hamiltonian Systems ◽  
Time Scales ◽  
Critical Point Theory ◽  
Point Theory ◽  
Singular Hamiltonian Systems ◽  
Existence Of Periodic Solutions

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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