On periodic solutions of superquadratic Hamiltonian systems

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Abstract

We study the existence of periodic solutions for some Hamiltonian systems ż = JHz(t,z) under new superquadratic conditions which cover the case H(t,z) = |z|2(ln(1 + |z|p))q with p, q > 1. By using the linking theorem, we obtain some new results. Key words: periodic solution, Hamiltonian system, linking theorem.

Original languageEnglish (US)
Pages (from-to)XCLXI-XCLXII
JournalElectronic Journal of Differential Equations
Volume2002
StatePublished - Dec 1 2002

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