INDEX OF AN IMPLICIT DIFFERENTIAL EQUATION

Challapa, L. S.; Ruas, M. A. S.

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(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

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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)

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