Description

• Title:
  Counting solutions of nonlinear abstract equations
• Creator:
  López-Gómez, Julian;
  Mora-Corral, Carlos
• Description:
  In this paper we use the topological degree to estimate the minimal number of solutions of the sections (defined by fixing a parameter) of the semi-bounded components of a general class of one-parameter abstract nonlinear equations by means of the {\it signature} of the semi-bounded component. A semi-bounded component is, roughly speaking, a component that is bounded along one direction of the parameter. The signature consists of the set of bifurcation values from the trivial state of the component together with their associated parity indices. The parity is a local invariant measuring the change of the local index of the trivial state.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2004.12.01
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 24, No 2 (December 2004); 307 - 335;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2004.030/9247
• Subject:
  Bifurcation theory;
  counting the number of solutions;
  fine topological structure;
  47J15;
  58C30;
  47H11;
  58C40
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2004.030
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other