Multiple periodic solutions with prescribed minimal period to second-order Hamiltonian systems

2014 ◽  
Vol 29 (3) ◽  
pp. 424-438 ◽  
Author(s):  
Radu Precup
Keyword(s):  
Periodic Solutions ◽  
Hamiltonian Systems ◽  
Second Order ◽  
Minimal Period ◽  
Second Order Hamiltonian Systems ◽  
Multiple Periodic Solutions

scholarly journals A Note on the Minimal Period Problem for Second Order Hamiltonian Systems

2014 ◽  
Vol 2014 ◽  
pp. 1-7
Author(s):  
Huafeng Xiao
Keyword(s):  
Periodic Solutions ◽  
Hamiltonian Systems ◽  
Sufficient Conditions ◽  
Nehari Manifold ◽  
Second Order ◽  
Minimal Period ◽  
Period Problem ◽  
Second Order Hamiltonian Systems

We study periodic solutions of second order Hamiltonian systems with even potential. By making use of generalized Nehari manifold, some sufficient conditions are obtained to guarantee the multiplicity and minimality of periodic solutions for second order Hamiltonian systems. Our results generalize the outcome in the literature.

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