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常微分方程奇解定义的商榷
引用本文:张少霞.常微分方程奇解定义的商榷[J].佛山科学技术学院学报(社会科学版),1995(4).
作者姓名:张少霞
作者单位:广州外贸学院数学教研室
摘    要:对常微分方程教科书中采用的不同方式来定义奇解进行了讨论,指出了用包络定义奇解的不相容性和用唯一性被破坏定义奇解的合理性.

关 键 词:常微分方程,定义,包络,奇解

A Discussion on the Definition of Singular Solution in Ordinary Differential Equation
Zhang Shaoxia.A Discussion on the Definition of Singular Solution in Ordinary Differential Equation[J].Journal of Foshan University(Social Science),1995(4).
Authors:Zhang Shaoxia
Abstract:The paper discussed two defining methods for singular solution in ordinarydifferential equation in textbooks. The result indicated that the singular solution given inenvelop was inconsistent and the singular solution which uniqueness was destroyed was rational.
Keywords:ordinary differential equation definition envelop singular solution  
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