Publicacions Matemàtiques

Index of an Implicit Differential Equation

L. S. Challapa and M. A. S. Ruas
Source: Publ. Mat. Volume 54, Number 1 (2010), 173-186.

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 $\mathbb{R}^{5}$.

First Page: Show Hide
Primary Subjects: 34A09
Secondary Subjects: 34A26, 58K05
Full-text: Access denied (no subscription detected)
We're sorry, but we are unable to provide you with the full text of this article because we are not able to identify you as a subscriber.
If you have a personal subscription to this journal, then please login. If you are already logged in, then you may need to update your profile to register your subscription. Read more about accessing full-text
Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.pm/1262962139
Mathematical Reviews number (MathSciNet): MR2603595
Zentralblatt MATH identifier: 1192.34012


2012 © Universitat Autònoma de Barcelona, Departament de Matemàtiques

Publicacions Matemàtiques

Publicacions Matemàtiques

Turn MathJax Off
What is MathJax?