奇点理论视角下的克莱罗型微分方程

Differential Equations of Clairaut Type under the Viewpoint of Singularity Theory

本文从奇点理论的角度定义了具有经典全解的一阶微分方程,并对这类方程的几何特征进行研究.作为特殊情况,我们也对经典克莱罗方程的特征加以刻画.

In the paper, from the angle of singularity theory, the first order differential equations with classical complete solutions are defined, and the geometry properties of this equation are also studied. As a special case, the character ofthe classical Clairaut type differential equation is also descripted.