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

Chengfu Che; Xiaoping Xue

doi:10.4064/ap105-1-1

Wydawnictwa / Czasopisma IMPAN / Annales Polonici Mathematici / Wszystkie zeszyty

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

Tom 105 / 2012

Chengfu Che, Xiaoping Xue Annales Polonici Mathematici 105 (2012), 1-12 MSC: Primary 34C25; Secondary 58E05. DOI: 10.4064/ap105-1-1

Streszczenie

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.

Autorzy

Chengfu CheDepartment of Mathematics
Harbin Institute of Technology
150001 Harbin, P.R. China
e-mail
Xiaoping XueDepartment of Mathematics
Harbin Institute of Technology
150001 Harbin, P.R. China
e-mail

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