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

الملخص EN

We deal with the quasi-periodic solutions of the following second-order Hamiltonian systems x¨(t)=∇F(t,x(t)), where x(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.