scholarly journals Periodic Solutions of Some Impulsive Hamiltonian Systems with Convexity Potentials

2012 ◽  
Vol 2012 ◽  
pp. 1-8 ◽  
Author(s):  
Dezhu Chen ◽  
Binxiang Dai
Keyword(s):  
Variational Methods ◽  
Periodic Solutions ◽  
Hamiltonian Systems ◽  
Existence Theorems ◽  
Second Order ◽  
Second Order Hamiltonian Systems ◽  
Existence Of Periodic Solutions

We study the existence of periodic solutions of some second-order Hamiltonian systems with impulses. We obtain some new existence theorems by variational methods.

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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