Multiple homoclinic solutions for a class of nonhomogeneous Hamiltonian systems

Abstract

Abstract By introducing a new superquadratic condition, we obtain the existence of two nontrivial homoclinic solutions for a class of perturbed second order Hamiltonian systems which are obtained by the mountain pass theorem and Ekeland’s variational principle.

Keywords

• Multiple Homoclinic solutions
• Perturbed second order Hamiltonian systems
• Superquadratic conditions
• The (C) condition
• Variational methods