Advanced search
Start date
Betweenand
(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

INDEX OF AN IMPLICIT DIFFERENTIAL EQUATION

Full text
Author(s):
Challapa, L. S. [1] ; Ruas, M. A. S. [2]
Total Authors: 2
Affiliation:
[1] Univ Fed Paraiba, DM, BR-58051900 Joao Pessoa, Paraiba - Brazil
[2] Univ Sao Paulo, ICMC, BR-13560970 Sao Carlos, SP - Brazil
Total Affiliations: 2
Document type: Journal article
Source: PUBLICACIONS MATEMATIQUES; v. 54, n. 1, p. 173-186, 2010.
Web of Science Citations: 0
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 = 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 R(5). (AU)