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三元多项式微分系统的反射函数与周期解
引用本文:周坚,赵士银.三元多项式微分系统的反射函数与周期解[J].成都大学学报(自然科学版),2010,29(3):225-228.
作者姓名:周坚  赵士银
作者单位:宿迁学院,教师教育系,江苏,宿迁,223800;宿迁学院,教师教育系,江苏,宿迁,223800
摘    要:利用Mironenko的反射数理论,研究了三元多项式微分系统的反射函数为F(t,x)=(x1,x2,F3(t,x))T,(x=x1,x2,x3)T时,F3(t,x)的具体表达式,并讨论了该系统存在周期解的条件.

关 键 词:微分系统  反射函数  周期解

Reflective Function and Periodic Solution of Trinary Polynominal Differential System
ZHOU Jian,ZHAO Shiyin.Reflective Function and Periodic Solution of Trinary Polynominal Differential System[J].Journal of Chengdu University (Natural Science),2010,29(3):225-228.
Authors:ZHOU Jian  ZHAO Shiyin
Institution:(Department of Teachers Education,Suqian College,Suqian 223800,China)
Abstract:Mironenko's theory of reflective function was used to study the expression of F3(t,x) when F(t,x)=(x1,x2,F3(t,x))^T,x=(x1,x2,x3)^T was the reflective function of the trinary polynominal differential system.The conditions for periodic solution which the system has were discussed too.
Keywords:differential system  reflective function  periodic solution
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