Periodic solutions for second order Hamiltonian systems on an arbitrary energy surface
Chengfu Che ; Xiaoping Xue
Annales Polonici Mathematici, Tome 105 (2012), p. 1-12 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2012-01-01
EUDML-ID : urn:eudml:doc:281106 
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     author = {Chengfu Che and Xiaoping Xue},
     title = {Periodic solutions for second order Hamiltonian systems on an arbitrary energy surface},
     journal = {Annales Polonici Mathematici},
     volume = {105},
     year = {2012},
     pages = {1-12},
     zbl = {1264.34077},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap105-1-1}
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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) pp. 1-12. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap105-1-1/