结合 Maslov 指标理论, 利用环绕定理证明了一类非线性哈密顿系统的周期解的存在性, 而这类哈密顿系统所对应的作用泛函可能不满足 Palais-Smale 条件.

In this paper, combining with the Maslov index theory we use the linking theorem to obtain the periodic solutions for a class of nonlinear Hamiltonian systems, of which the corresponding action functionals may not satisfy the Palais-Smale condition.