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三元多项式微分系统的反射函数与周期解

Reflective Function and Periodic Solution of Trinary Polynominal Differential System
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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. 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.
作者 周坚 赵士银
机构地区 宿迁学院教师教育系
出处 《成都大学学报（自然科学版）》 2010年第3期225-228,共4页 Journal of Chengdu University（Natural Science Edition）
基金 国家自然科学基金(60774073)资助项目
关键词 微分系统 反射函数 周期解 differential system reflective function periodic solution
分类号 O175.14 [理学—基础数学]
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参考文献11

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二级参考文献17

  • 1Zhou Zheng xin Department of Mathematics, University of Yangzhou, Yangzhou 225002, Jiangsu, China.The Reflective Function of Differential System[J].Wuhan University Journal of Natural Sciences,2002,7(4):383-387. 被引量：4
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共引文献23

成都大学学报（自然科学版）
2010年 第3期

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