科研之友
微信
新浪微博
Facebook
分享链接
摘要
In this paper, we deal with the second-order Hamiltonian system (*) (u) triple over dot -L(t)u + del W(t,u)=0. We establish some criteria which guarantee that the above system has at least one or infinitely many homoclinic solutions under the assumption that W(t,x) is subquadratic at infinity and L(t) is a real symmetric matrix and satisfies [GRAPHICS] for some constant v <2. In particular, L(t) and W(t,x) are allowed to be sign-changing.
