摘要

In this article we study the existence of infinitely many homoclinic solutions for a class of second-order Hamiltonian systems @@@ u - L(t)u + W-u (t, u) = 0, for all t is an element of R, @@@ where L is not required to be either uniformly positive definite or coercive, and W is superquadratic at infinity in u but does not need to satisfy the Ambrosetti-Rabinowitz superquadratic condition.

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