Description

• Title:
  On first and second-order perturbed differential inclusions governed by maximal monotone operators
• Creator:
  Benguessoum, Messaouda;
  Azzam-Laouir, Dalila
• Description:
  In this paper we establish, in a separable Hilbert space, a result asserting the existence of absolutely continuous solutions for a system made up of a first-order differential inclusion governed by time and state-dependent maximal monotone operators; and an ordinary differential equation. From this result, we derive existence of absolutely continuous solutions to a second-order differential inclusion governed by time and state-dependent maximal monotone operators.
• Object availability:
  free access
• Rights: https://creativecommons.org/licenses/by-nd/4.0 ;
  Prawa autorskie (c) 2024 Messaouda Benguessoum, Dalila Azzam-Laouir
• Date:
  2024.06.16
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 63, No 2 (June 2024); 595 - 615;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/52719/38781 ;https://apcz.umk.pl/TMNA/article/view/52719/38782
• Subject:
  Absolutely continuous variation;
  differential inclusion;
  Lipschitz mapping;
  maximal monotone operator;
  pseudo-distance;
  second-order;
  Primary: 34A60, 47B02, 34K27;
  Secondary: 28B20
• Identifier: https://apcz.umk.pl/TMNA/article/view/52719
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other