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Multiple solutions of second order Hamiltonian systems
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https://doi.org/10.14232/ejqtde.2017.1.33Abstract
The existence and the multiplicity of periodic solutions for a parameter dependent second order Hamiltonian system are established via linking theorems. A monotonicity trick is adopted in order to prove the existence of an open interval of parameters for which the problem under consideration admits at least two non trivial qualified solutions.
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