In this paper, we study the nonperiodic first-order Hamiltonian system u = JL(t)u + JH'(t,u), where HεCl(RxR2n). With some assumptions on L, the corresponding Hamiltonianoperator has only discrete spectrum. B...In this paper, we study the nonperiodic first-order Hamiltonian system u = JL(t)u + JH'(t,u), where HεCl(RxR2n). With some assumptions on L, the corresponding Hamiltonianoperator has only discrete spectrum. By using the index theory for self-adjoint operator equation, we establish the existence of multiple homoclinic orbits for the asymptotically quadratic nonlinearty satisfying some twist conditions between infinity and origin.展开更多
基金Supported by the Jiangsu Planned Projects for Postdoctoral Research Funds(Grant No.1302012B)
文摘In this paper, we study the nonperiodic first-order Hamiltonian system u = JL(t)u + JH'(t,u), where HεCl(RxR2n). With some assumptions on L, the corresponding Hamiltonianoperator has only discrete spectrum. By using the index theory for self-adjoint operator equation, we establish the existence of multiple homoclinic orbits for the asymptotically quadratic nonlinearty satisfying some twist conditions between infinity and origin.