Description

• Title:
  Almost-periodicity problem as a fixed-point problem for evolution inclusions
• Creator:
  Andres, Jan;
  Bersani, Alberto M.
• Description:
  Existence of almost-periodic solutions to quasi-linear evolution inclusions under a Stepanov almost-periodic forcing is nontraditionally examined by means of the Banach-like and the Schauder-Tikhonov-like fixed-point theorems. These multivalued fixed-point principles concern condensing operators in almost-periodic function spaces or their suitable closed subsets. The Bohr-Neugebauer-type theorem jointly with the Bochner transform are employed, besides another, for this purpose. Obstructions related to possible generalizations are discussed.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2001.12.01
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 18, No 2 (December 2001); 337 - 349;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2001.038/9929
• Subject:
  Almost-periodic solutions;
  differential inclusions in Banach spaces;
  fixed-points;
  Stepanov almost-periodic forcing;
  Bohr-Neugebauer-type theorem;
  condensing operators;
  existence results;
  34A60;
  34C27;
  42A75;
  47H10
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2001.038
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other