对于一个二阶哈密顿系统u-L(t)u(t)-△W(t,u(t))=0,∨t∈R,通过用局部环绕引理,得到至少两个非平凡的同宿轨道,其中W(t,u)是超二次的.
For a class of the second order Hamiltonian systems u-L(t)u(t)-△W(t,u(t))=0,∨t∈R,by using the local linking lemma, the existonce of at least two nontrivial homoclinic orbits is obtained, where W (t ,u ) is superquadratic.