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Sub-harmonics of first order Hamiltonian systems and their asymptotic behaviors

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  • In this paper some new existence results for sub-harmonics are proved for first order Hamiltonian systems with super-quadratic potentials by using two new estimates on $C^0$ bound for the periodic solutions. Applying the uniform estimates on the sub-harmonics, the asymptotic behaviors of sub-harmonics is studied when the systems have globally super-quadratic potentials.
    Mathematics Subject Classification: 37J45, 34C25, 47J30.


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