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Periodic Solutions with Prescribed Minimal Period for the Second Order Hamiltonian Systems with Even Potentials 被引量:2

Periodic Solutions with Prescribed Minimal Period for the Second Order Hamiltonian Systems with Even Potentials
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摘要 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. 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.
作者 Yu Ming XIAO
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2010年第5期825-830,共6页 数学学报(英文版)
基金 supported by the 973 Project of Science and Technology
关键词 critical points Hamiltonian systems periodic solutions minimal period critical points, Hamiltonian systems, periodic solutions, minimal period
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