Note on homoclinic solutions to nonautonomous Hamiltonian systems with sign-changing nonlinear part

Federico Bernini, Bartosz Bieganowski, Daniel Strzelecki

In the paper, we utilize the recent variational, abstract theorem to show the existence of homoclinic solutions to the Hamiltonian system $$ \dot{z} = J D_z H(z, t), \quad t \in \m…