渐近线性哈密顿系统的周期解（英文）

摘要

In this paper the existence and multiplicity of periodic solutions for asymptotically linear Hamiltonian system are obtained by using Morse index theory and LusternikSchnirelman theory.The existing research results have been popularized.%论文考虑了渐近线性哈密顿系统周期解的存在和多重性问题,基于莫斯指数理论和Lusternik-Schnirelman定理获得了系统至少存在一组非零解的充分条件,推广了已有的相关结果.