We first establish Maslov index for non-canonical Hamiltonian system by using symplectic transformation for Hamiltonian system.Then the existence of multiple periodic solutions for the non-canonical Hamiltonian system...We first establish Maslov index for non-canonical Hamiltonian system by using symplectic transformation for Hamiltonian system.Then the existence of multiple periodic solutions for the non-canonical Hamiltonian system is obtained by applying the Maslov index and Morse theory.As an application of the results,we study a class of non-autonomous differential delay equation which can be changed to non-canonical Hamiltonian system and obtain the existence of multiple periodic solutions for the equation by employing variational method.展开更多
基金supported by Natural Science Foundation of the Jiangsu Higher Education Institutions(Grant No.12KJB110015)
文摘We first establish Maslov index for non-canonical Hamiltonian system by using symplectic transformation for Hamiltonian system.Then the existence of multiple periodic solutions for the non-canonical Hamiltonian system is obtained by applying the Maslov index and Morse theory.As an application of the results,we study a class of non-autonomous differential delay equation which can be changed to non-canonical Hamiltonian system and obtain the existence of multiple periodic solutions for the equation by employing variational method.