scholarly journals Some united existence results of periodic solutions for non-quadratic second order Hamiltonian systems

2014 ◽  
Vol 13 (1) ◽  
pp. 75-95 ◽  
Author(s):  
Xingyong Zhang ◽  
◽  
Xianhua Tang ◽  
Keyword(s):  
Periodic Solutions ◽  
Hamiltonian Systems ◽  
Existence Results ◽  
Second Order ◽  
Second Order Hamiltonian Systems

scholarly journals Variational Approach to Quasi-Periodic Solution of Nonautonomous Second-Order Hamiltonian Systems

2012 ◽  
Vol 2012 ◽  
pp. 1-14 ◽  
Author(s):  
Juhong Kuang
Keyword(s):  
Periodic Solution ◽  
Variational Methods ◽  
Periodic Solutions ◽  
Hamiltonian Systems ◽  
Variational Approach ◽  
Second Order ◽  
New Approach ◽  
Second Order Hamiltonian Systems

We deal with the quasi-periodic solutions of the following second-order Hamiltonian systemsx¨(t)=∇F(t,x(t)), wherex(t)=(x1(t),…,xN(t)), and we present a new approach via variational methods and Minmax method to obtain the existence of quasi-periodic solutions to the above equation.

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