【摘要】 研究了二阶非自治Hamilton系统(t)-B(t)x(t)+▽H(t,x(t))=0,在局部超二次条件下周期解的存在性问题,利用山路定理和局部环绕定理得到了新的存在性定理,改进了已有结果.更多还原

【Abstract】 In this paper, we study the existence of periodic solutions of the following non-autonomous Hamiltonian systems (t)-B(t)x(t)+▽H(t,x(t))=0 with local superquadratic condition. New existence theorems are obtained by the mountain pass theorem and local linking theorem. Our results improve previously known results.更多还原