Abstract
In this paper we introduce the concept of the index of an implicit differential equation $F(x,y,p)=0,$ where $F$ is a smooth function, $p=\frac{dy}{dx}$, $F_{p}=0$ and $F_{pp}=0$ at an isolated singular point. We also apply the results to study the geometry of surfaces in $\mathbb{R}^{5}$.
Citation
L. S. Challapa. M. A. S. Ruas. "Index of an Implicit Differential Equation." Publ. Mat. 54 (1) 173 - 186, 2010.
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