文献类型：期刊文献

英文题名：Brake Subharmonic Solutions of Subquadratic Hamiltonian Systems

作者：Li, Chong[1]

通讯作者：Li, C[1]

机构：[1]Beijing Union Univ, Basic Dept, Beijing 100101, Peoples R China

第一机构：北京联合大学基础教学部

通讯机构：[1]corresponding author), Beijing Union Univ, Basic Dept, Beijing 100101, Peoples R China.|[1141788]北京联合大学基础教学部;[11417]北京联合大学;

年份：2016

卷号：37

期号：3

起止页码：405-418

外文期刊名：CHINESE ANNALS OF MATHEMATICS SERIES B

收录：;Scopus(收录号：2-s2.0-84964483826);WOS:【SCI-EXPANDED(收录号:WOS:000377678700008)】；

基金：This work was supported by the National Natural Science Foundation of China (Nos. 11501030, 11226156) and the Beijing Natural Science Foundation (No. 1144012).

语种：英文

外文关键词：Brake subharmonic solution; L-Maslov type index; Hamiltonian systems

摘要：The author mainly uses the Galerkin approximation method and the iteration inequalities of the L-Maslov type index theory to study the properties of brake subharmonic solutions for the Hamiltonian systems z over dot (t) = J del H(t, z(t)), where H(t, z) = 1/2 ((B) over tilde (t) z, z) + (H) over cap (t, z), (B) over cap (t) is a semipositive symmetric continuous matrix and (H) over cap is unbounded and not uniformly coercive. It is proved that when the positive integers j and k satisfy the certain conditions, there exists a jT-periodic nonconstant brake solution z(j) such that z(j) and z(kj) are distinct.