Homoclinic orbits for second order Hamiltonian systems with asymptotically linear terms at infinity

摘要

In this paper, by using some different asymptotically linear conditions from those previously used in Hamiltonian systems, we obtain the existence of nontrivial homoclinic orbits for a class of second order Hamiltonian systems by the variational method. MSC:37J45, 37K05, 58E05.