摘要
利用Ｒａｂｉｎｏｗｉｔｚ鞍点定理及Ａｍｂｒｏｓｅｔｉ－Ｒａｂｉｎｏｗｉｔｚ山路引理以及它们相应的临界点的Ｍｏｒｓｅ指标估计证明了二类非自治Ｈａｍｉｌｔｏｎ系统给定极小周期的次调和解的存在性
Using the Rabinowitz′s saddle point theorem and Ambrosetti-Rabinowitz′s mountain Pass theorem and the morse index extimates of the corresponding critical points,we prove the existence of the subharmonic solution with prescribed minimal period about two classes of nonautonomus Hamiltionian systems
关键词
次调和解
哈密顿系统
R鞍点定理
A-R山路引理
Rabinowitz′s saddle point theorem
ambrosetti-rabinowitz′s mountain pass theorem
morse index
hamiltionian systems
subharmonic solutions
