摘要
利用 Rabinowitz鞍点定理及其临界点的Morse指标估计研究了二类非凸次二次二阶自治Hamilton系统的极小周期解的存在性。
The existence of the minimal periodic solutions to two classes of the nonconvex subquadratic autonomous second order Hamiltonian systems is studied on the basis of the Rabinowitz' s saddle point theorem and the Morse index estimation of its critical points.
出处
《重庆大学学报（自然科学版）》
EI
CAS
CSCD
1993年第2期113-119,共7页
Journal of Chongqing University
关键词
极小周期解
鞍点定理
哈密顿系统
second order Hamiltonian system
minimal periodic solution
saddle point the-orem
Morse index
