摘要
The existence of nontrivial homoclinic orbits of periodic Hamiltonian systems: is proved, where q=（q<sub>1</sub>,q<sub>2</sub>,’',q<sub>n</sub>）, n】2; V（t, q）:R<sup>1</sup>×R<sup>n</sup>\{e}→R<sup>1</sup> is a potential With a singularity, i.e. -V（t, q）→+∞, as q→e. The main assumptions are Gordon-strong force condion and the uniqueness of a global maximum of V（t, q）.
The existence of nontrivial homoclinic orbits of periodic Hamiltonian systems:q + V′q(t, q) = 0 is proved, whereq = (q 1,q 2,...,q n),n> 2;V(t, q): ?1 × ?n |e| → ?1 is a potential with a singularity, i.e. -V(t, q)→+∞, asq→e. The main assumptions are Gordon-strong force condion and the uniqueness of a global maximum ofV(t, q).
作者
LI Chengyue , FAN Tianyou TONG MingshengResearch Center of Materials Science, Beijing Institute of Technology, Beijing 100081, China
Department of Mathematics, Central University for Nationalities, Beijing 100081, China
Computer Center, Beijing Institute of Technology, Beijing 100081, China
