Homoclinic orbits of sub-linear Hamiltonian systems with perturbed terms

Abstract

Abstract By using variational methods, we obtain the existence of homoclinic orbits for perturbed Hamiltonian systems with sub-linear terms. To the best of our knowledge, there is no published result focusing on the perturbed and sub-linear Hamiltonian systems.

Keywords

• Perturbed Hamiltonian systems
• Sub-linear
• Homoclinic orbits