Abstract
In the present paper, the non-autonomous second order Hamiltonian systems (1) { u ̈ ( t ) = ∇ F ( t , u ( t ) ) , a.e. t ∈ [ 0 , T ] u ( 0 ) − u ( T ) = u ̇ ( 0 ) − u ̇ ( T ) = 0 , are studied and a new existence theorem and a new multiplicity theorem of periodic solutions are obtained.
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