二阶超线性哈密顿系统周期解的存在性

摘要

We discuss the second-order Hamiltonian system -ii(t) + ▽ [ -K(t ,u(t)) +W(t ,u(t))] = 0, and by using Mountain Pass theorem, obtain an unbounded sequence of T-periodic solutions when ▽W is superlinear.%研究二阶哈密顿系统-ü(t)+▽[-K(t,u(t))+W(t,u(t))]=0周期解的存在性及多重性,通过使用山路定理,得到了当▽W为超线性时,系统无穷多个周期序列解的存在性.