n阶线性微分系统的广义反射矩阵与周期解  

The Generalized Reflective Matrix and Periodic Solution of n-Order Linear Differential System

作　　者：周坚[1] 赵士银[1] 邵树祥 ZHOU Jian;ZHAO Shi-yin;SHAO Shu-xiang(School of Literature and Science,Suqian College,Suqian 223800,China)

机构地区：[1]宿迁学院文理学院,江苏宿迁223800

出　　处：《数学的实践与认识》2020年第9期264-269,共6页Mathematics in Practice and Theory

基　　金：宿迁市科技计划项目。

摘　　要：利用Mironenko的反射函数理论,讨论了n阶线性微分系统的广义反射矩阵并由此得到n阶周期线性系统及与之等价的非线性微分系统的周期解的存在性和稳定性的判定方法.By using Mironenko’s reflection function theory,the generalized reflection matrix of the n-order linear differential system is discussed.From this,the existence and stability of the periodic solutions of the n-order periodic linear system and its equivalent non-linear differential system are obtained.

关 键 词：微分系统 广义反射矩阵 周期解 

分 类 号：O175[理学—数学]