用指标理论对凸哈密顿系统周期解的一个存在性定理的推广

摘要

考虑凸哈密顿系统周期解的存在性,利用对偶变分方法和Ekeland指标理论,得到了一个新结果,改进了Mawhin证明的哈密顿系统周期解的一个存在性定理.%In this paper, considering the existence of periodic solutions of convex Hamiltonian systems and utilizing the dual variance methods and Ekeland index theories, we get a new result, which improve an existence theorem, proved by Mawhin J the existence theory of periodic solutions of convex Hamiltonian system.