Description

• Title:
  Nonlinear Volterra delay evolution inclusions subjected to nonlocal initial conditions
• Creator:
  Yu, Yang-Yang;
  Wang, Rong-Nian;
  Vrabie, Ioan I.
• Description:
  This paper deals with a nonlinear Volterra delay evolution inclusion subjected to a nonlocal implicit initial condition. The evolution inclusion involves an $m$-dissipative operator (possibly multivalued and/or nonlinear) and a noncompact interval. We first consider the evolution inclusion subjected to a local initial condition and prove an existence result for bounded $C^0$-solutions. Then, using a fixed point theorem for upper semicontinuous multifunctions with contractible values, we obtain a global solvability result for the original problem. Finally, we present an example to illustrate the abstract result.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2021 Topological Methods in Nonlinear Analysis;
  https://creativecommons.org/licenses/by-nd/4.0
• Date:
  2021.09.12
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 58, No 1 (September 2021); 135 - 160;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/35209/29664 ;https://apcz.umk.pl/TMNA/article/view/35209/29665
• Subject:
  Volterra delay evolution inclusion;
  nonlocal implicit initial condition;
  $C^0$-solutions;
  equicontinuous semigroup;
  global solvability;
  Primary;
  34G25;
  47H20;
  Secondary;
  45D05;
  45K05
• Identifier: https://apcz.umk.pl/TMNA/article/view/35209
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other