A unified approach to periodic solutions for a class of non-autonomous second order Hamiltonian systems

2021 ◽  
Vol 58 ◽  
pp. 103218
Author(s):  
Zhiyong Wang ◽  
Jihui Zhang ◽  
Mengxi Chen
Keyword(s):  
Periodic Solutions ◽  
Hamiltonian Systems ◽  
Second Order ◽  
Unified Approach ◽  
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.

Sign in / Sign up

Export Citation Format

Share Document