摘要：Under some local superquadratic conditions on W ( t , u ) $W(t,u)$ with respect to u, the existence of infinitely many homoclinic solutions is obtained for the nonperiodic second order Hamiltonian systems u ¨ ( t ) − L ( t ) u ( t ) + ∇ W ( t , u ( t ) ) = 0 $\ddot{u}(t)-L(t)u(t)+\nabla W(t,u(t))=0$ , ∀ t ∈ R $\forall t\in\mathbb{R}$ , where L ( t ) $L(t)$ is unnecessarily coercive.
关键词：homoclinic solutions ; second order Hamiltonian systems ; local conditions
