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| SOME RESULTS ON THE MINIMAL PERIOD PROBLEM OF NONCONVEX SECOND ORDER HAMILTONIAN SYSTEMS |
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Citation： |
FEI Guihua,WANG Tixiang.SOME RESULTS ON THE MINIMAL PERIOD PROBLEM OF NONCONVEX SECOND ORDER HAMILTONIAN SYSTEMS[J].Chinese Annals of Mathematics B,1999,20(1):83~92 |
| Page view： 1029
Net amount： 709 |
Authors： |
FEI Guihua; WANG Tixiang |
Foundation： |
National Natural Science Foundation of China |
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| Abstract： |
The authors study the existence of periodic solutions with prescribed minimal period for superquadratic and asymptotically linear autonomous second order Hamiltonian systems without any convexity assumption. Using the variational methods, an estimate on the minimal period of the corresponding nonconstant periodic solution of the above-mentioned system is obtained. |
Keywords： |
Minimal period solutions, Second order
Hamiltonian systems, Iteration |
Classification： |
58E05, 58F05, 34C25 |
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