Description

• Title:
  The implicit function theorem for continuous functions
• Creator:
  Biasi, Carlos;
  Gutierrez, Carlos;
  dos Santos, Edivaldo L.
• Description:
  In the present paper we obtain a new homological version of the implicit function theorem and some versions of the Darboux theorem. Such results are proved for continuous maps on topological manifolds. As a consequence, some versions of these classic theorems are proved when we consider differenciable (not necessarily $C^{1}$) maps.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2008.09.01
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 32, No 1 (September 2008); 177 - 185;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2008.044/8810
• Subject:
  Darboux theorem;
  implicit function theorem;
  differentiable maps;
  degree of a map;
  Primary 58C15;
  Secondary 47J07
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2008.044
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other