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

Chengfu Che, and Xiaoping Xue. "Periodic solutions for second order Hamiltonian systems on an arbitrary energy surface." Annales Polonici Mathematici 105.1 (2012): 1-12. <http://eudml.org/doc/281106>.

@article{ChengfuChe2012,
abstract = {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.},
author = {Chengfu Che, Xiaoping Xue},
journal = {Annales Polonici Mathematici},
keywords = {Hamiltonian systems; periodic solutions; prescribed energy problem; monotonicity method},
language = {eng},
number = {1},
pages = {1-12},
title = {Periodic solutions for second order Hamiltonian systems on an arbitrary energy surface},
url = {http://eudml.org/doc/281106},
volume = {105},
year = {2012},
}

TY - JOUR
AU - Chengfu Che
AU - Xiaoping Xue
TI - Periodic solutions for second order Hamiltonian systems on an arbitrary energy surface
JO - Annales Polonici Mathematici
PY - 2012
VL - 105
IS - 1
SP - 1
EP - 12
AB - 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.
LA - eng
KW - Hamiltonian systems; periodic solutions; prescribed energy problem; monotonicity method
UR - http://eudml.org/doc/281106
ER -