Geodesic
Periodic solutions for second order Hamiltonian systems on an arbitrary energy surface
Chengfu Che1 ; Xiaoping Xue1
1Department of Mathematics Harbin Institute of Technology 150001 Harbin, P.R. China
Annales Polonici Mathematici, Tome 105 (2012) no. 1, pp. 1-12
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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.
DOI : 10.4064/ap105-1-1
Keywords: theorems about existence periodic solutions prescribed energy second order hamiltonian systems obtained gives existence almost energies under natural conditions other yields existence energies under further condition

Chengfu Che  1   ; Xiaoping Xue  1

1 Department of Mathematics Harbin Institute of Technology 150001 Harbin, P.R. China 
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Chengfu Che; Xiaoping Xue. Periodic solutions for second order Hamiltonian systems
 on an arbitrary energy surface. Annales Polonici Mathematici, Tome 105 (2012) no. 1, pp. 1-12. doi: 10.4064/ap105-1-1

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