Description

• Title:
  Nonlinear vector Duffing inclusions with no growth restriction on the orientor field
• Creator:
  Papageorgiou, Nikolaos S.;
  Vetro, Calogero;
  Vetro, Francesca
• Description:
  We consider nonlinear multivalued Dirichlet Duffing systems. We do not impose any growth condition on the multivalued perturbation. Using tools from the theory of nonlinear operators of monotone type, we prove existence theorems for the convex and the nonconvex problems. Also we show the existence of extremal trajectories and show that such solutions are $C_0^1(T,\mathbb{R}^N)$-dense in the solution set of the convex problem (strong relaxation theorem).
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2019 Topological Methods in Nonlinear Analysis
• Date:
  2019.07.13
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 54, No 1 (September 2019); 257 - 274;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2019.041/18013 ;https://apcz.umk.pl/TMNA/article/view/TMNA.2019.041/18014
• Subject:
  Duffing system;
  extremal solutions;
  nonlinear operator of monotone type;
  strong relaxations;
  Primary;
  34A60;
  Secondary;
  34B15
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2019.041
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other