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ON THE MINIMAL PERIOD FOR PERIODIC SOLUTION PROBLEM OF NONLINEAR HAMILTONIAN SYSTEMS |
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Citation: |
Long Yiming.ON THE MINIMAL PERIOD FOR PERIODIC SOLUTION PROBLEM OF NONLINEAR HAMILTONIAN SYSTEMS[J].Chinese Annals of Mathematics B,1997,18(4):481~484 |
Page view: 1278
Net amount: 702 |
Authors: |
Long Yiming; |
Foundation: |
the National Natural Science Foundation of China, the MCSEC of China, the Qiu Shi Sci. and Tech. Foundation and the Associate Membership Programme of the ICTP at Trieste, Italy |
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Abstract: |
The author proves a sharper estimate on the minimal period for
periodic solutions of autonomous second order Hamiltonian systems under precisely Rabinowitz' superquadratic condition. |
Keywords: |
Hamiltonian systems, $\Z_2$-symmetry, Index iteration
inequality, Minimal period, Even solution, Superquadratic condition, Non-convexity |
Classification: |
58F05, 58E05, 34C25 |
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