Displaying similar documents to “The compact category and mulitple periodic solutions of Hamiltionian systems on symmetric starshaped energy surfaces.”

Periodic solutions for second order Hamiltonian systems on an arbitrary energy surface

Chengfu Che, Xiaoping Xue (2012)

Annales Polonici Mathematici

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Two theorems about the existence of periodic solutions with prescribed energy for second order Hamiltonian systems are obtained. One gives existence for almost all energies under very natural conditions. The other yields existence for all energies under a further condition.