INDEX OF AN IMPLICIT DIFFERENTIAL EQUATION


Autoria(s): CHALLAPA, L. S.; RUAS, M. A. S.
Contribuinte(s)

UNIVERSIDADE DE SÃO PAULO

Data(s)

20/10/2012

20/10/2012

2010

Resumo

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).

FAPESP[06/50075-3]

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Identificador

PUBLICACIONS MATEMATIQUES, v.54, n.1, p.173-186, 2010

0214-1493

http://producao.usp.br/handle/BDPI/28828

http://apps.isiknowledge.com/InboundService.do?Func=Frame&product=WOS&action=retrieve&SrcApp=EndNote&UT=000274418800010&Init=Yes&SrcAuth=ResearchSoft&mode=FullRecord

Idioma(s)

eng

Publicador

UNIV AUTONOMA BARCELONA

Relação

Publicacions Matematiques

Direitos

restrictedAccess

Copyright UNIV AUTONOMA BARCELONA

Palavras-Chave #Index #quadratic differential form #binary differential equation #SURFACES #MULTIPLICITY #FORMS #R-5 #Mathematics
Tipo

article

original article

publishedVersion