Description

• Title:
  Nielsen number, impulsive differential equations and problem of Jean Leray
• Creator:
  Andres, Jan
• Description:
  We will show that, unlike to usual (i.e.\ non-impulsive) differential equations, the Nielsen theory results for single-valued as well as multivalued maps on tori can be effectively applied to impulsive differential equations and inclusions. With this respect, two main aims will be focused, namely: (i) multiplicity results for harmonic periodic solutions, (ii) the coexistence of subharmonic periodic solutions with various periods. In both cases, we will try to contribute at least partly to the problem posed already in 1950 by Jean Leray. A dynamic complexity of the related maps, measured in terms of entropy, will be also examined.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2020 Topological Methods in Nonlinear Analysis
• Date:
  2020.08.27
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 56, No 2 (December 2020); 383 - 400;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2019.112/26385 ;https://apcz.umk.pl/TMNA/article/view/TMNA.2019.112/26386
• Subject:
  Nielsen number;
  admissible maps;
  periodic orbits;
  impulsive differential equations and inclusions;
  harmonic and subharmonic solutions;
  multiplicity results;
  coexistence of subharmonics;
  entropy;
  34B37;
  34C28;
  37E10;
  37E15;
  37C25;
  58C06
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2019.112
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other