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求常微分方程周期解的同伦方法
引用本文:王国铭,吕显瑞,黄庆道.求常微分方程周期解的同伦方法[J].东北数学,2004,20(3):369-378.
作者姓名:王国铭  吕显瑞  黄庆道
作者单位:School of Mathematics,Jilin University,Changchun,130012,School of Mathematics,Jilin University,Changchun,130012,School of Mathematics,Jilin University,Changchun,130012
摘    要:As an important aspect of applications, it is discussed how to find periodic solutions for ordinary differential equations. By using the homotopy method, a global method for finding those solutions is proposed.

关 键 词:同伦法  周期解  全局收敛  比较准则  常微分方程

Finding Periodic Solutions of Ordinary Differential Equations by the Homotopy Method
WANG Guo-ming LU Xian-rui HUANG Qing-dao.Finding Periodic Solutions of Ordinary Differential Equations by the Homotopy Method[J].Northeastern Mathematical Journal,2004,20(3):369-378.
Authors:WANG Guo-ming LU Xian-rui HUANG Qing-dao
Institution:SchoolofMathematics,JilinUniversity,Changchun,130012
Abstract:As an important aspect of applications, it is discussed how to find periodic solutions for ordinary differential equations. By using the homotopy method, a global method for finding those solutions is proposed.
Keywords:homotopy method  finding periodic solution  global convergence  comparison principle
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