Existence of infinitely many homoclinic orbits for nonperiodic superquadratic Hamiltonian systems

摘要

In this paper, we study the following nonperiodic Hamiltonian system z=J ~(Hz)(t,z), where H(t,z) is superquadratic in z∈R2 ~N as |z|→∞. By applying a generalized linking theorem for strongly indefinite functionals, we obtain infinitely many homoclinic orbits for the above system.