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Periodic solutions with prescribed minimal period for the second order Hamiltonian systems with even potentials
Authors:Yu Ming Xiao
Institution:1. Chern Institute of Mathematics, Nankai University, Tianjin, 300371, P. R. China
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.
Keywords:critical points  Hamiltonian systems  periodic solutions  minimal period
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