Periodic solutions with prescribed minimal period for the second order Hamiltonian systems with even potentials |
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Authors: | Yu Ming Xiao |
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Affiliation: | 1. Chern Institute of Mathematics, Nankai University, Tianjin, 300371, P. R. China
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Abstract: | In this paper, under a similar but stronger condition than that of Ambrosetti and Rabinowitz we find a T-periodic solution of the autonomous superquadratic second order Hamiltonian system with even potential for any T > 0; moreover, such a solution has T as its minimal period. |
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Keywords: | critical points Hamiltonian systems periodic solutions minimal period |
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