Description

• Title:
  On the structure of the solution set of abstract inclusions with infinite delay in a Banach space
• Creator:
  Guedda, Lahcene
• Description:
  In this paper we study the topological structure of the solution set of abstract inclusions, not necessarily linear, with infinite delay on a Banach space defined axiomatically. By using the techniques of the theory of condensing maps and multivalued analysis tools, we prove that the solution set is a compact $R_\delta$-set. Our approach makes possible to give a unified scheme in the investigation of the structure of the solution set of certain classes of differential inclusions with infinite delay.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2016.10.05
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 48, No 2 (December 2016); 567 - 595;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2016.060/9873 ;https://apcz.umk.pl/TMNA/article/view/TMNA.2016.060/9874
• Subject:
  Abstract inclusion;
  functional differential inclusion;
  infinite delay;
  measures of noncompactness and condensing mappings;
  $R_\delta$-set;
  Primary;
  34K30;
  47H08;
  Secondary;
  34K09;
  93C20
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2016.060
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other