ON THE MINIMAL PERIOD FOR PERIODIC SOLUTION PROBLEM OF NONLINEAR HAMILTONIAN SYSTEMS

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
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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
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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