Abstract
In this paper, we study the existence of infinitely many homoclinic solutions for a class of second order Hamiltonian systems ü−L(t)u+Wu(t,u)=0, ∀t∈R, where L(t) is unnecessarily positive definite for all t∈R, and W(t,u) is only locally defined near the origin with respect to u and not assumed to be periodic with respect to t.
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