MULTIPLICITY OF HOMOCLINIC SOLUTIONS FOR SECOND-ORDER HAMILTONIAN SYSTEMS.

By using a modified function technique and variational methods, we establish the existence of infinitely many homoclinic solutions for a second-order Hamiltonian system ü - L(t)u + Fu(t, u) = 0, for all t ∈ ℝ, where no coercive condition for F(t, u) at infinity is imposed. [ABSTRACT FROM AUTHOR]