克莱罗型常微分方程1-参数族的一种新的分类

A New Classification of 1-parameter Family of Ordinary Differential Equations of Clairaut Type

克莱罗型常微分方程是经典的克莱罗微分方程概念的一种推广.本文给出了克莱罗型常微分方程的1-参数族的概念,并且得到了它的一种新的分类,其标准形式由1-参数积分图代表.

The notion of ordinary differential equations of Clairaut type is one of the generalized notions of the classical Clairaut equations.In the paper,we give the notion of 1-parameter family of these type equations and investigate a new classification of them whose normal forms are represented by one-parameter integral diagrams.