二阶次二次Hamilton系统周期解的最小周期估计  

Periodic Solutions of Second-order Subquadratic Hamiltonian Systems with Minimal Period Estimates

作　　者：张晓飞 刘春根 Zhang Xiaofei;Liu Chungen(School of Mathematics and Statistics,Shanri Datong University,Datong 037009,China;School of Mathematics and Information Science,Guangzhou University,Guangzhou 510006,China)

机构地区：[1]山西大同大学数学与统计学院,山西大同037009 [2]广州大学数学与信息科学学院,广东广州510006

出　　处：《南开大学学报（自然科学版）》2020年第6期78-84,共7页Acta Scientiarum Naturalium Universitatis Nankaiensis

基　　金：Supported by the Youth Fund Programs of the Science and Technology Department in Shanxi(201901D211430);the Scientific and Technological Innovation Programs of Higher Education Institutions in Shanxi(2019L0766);the Doctoral Scientific Research Foundation of Shanxi Datong University;the NSF of China(11790271);Guangdong Basic and Applied basic Research Foundation(2020A1515011019);Innovation and Development Project of Guangzhou University。

摘　　要：利用同调环绕定理、最小作用原理以及龙以明教授发展的Morse指标迭代不等式,来研究二阶次二次Hamilton系统的周期解问题,并给出周期解的最小周期估计.Periodic solutions with minimal period estimates are considered for second-order subquadratic Hamiltonian systems via the homological link theorem,the least action principle and the Morse index iteration inequalities developed by Long.

关 键 词：HAMILTON系统 周期解 最小周期估计 MORSE指标 

分 类 号：O175.14[理学—数学] O176.3[理学—基础数学]