Periodic solutions with prescribed minimal period for the second order Hamiltonian systems with even potentials

Authors
Xiao, Yu Ming
Citation
Xiao, Yu Ming, Periodic solutions with prescribed minimal period for the second order Hamiltonian systems with even potentials, Acta mathematica Sinica. English series (Print) , 26(5), 2010, pp. 825-830
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
26
Issue
5
Year of publication
2010
Pages
825 - 830
Database
ACNP
SICI code
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.