Description

• Title:
  Random topological degree and random differential inclusions
• Creator:
  Andres, Jan;
  Górniewicz, Lech
• Description:
  We present a random topological degree effectively applicable mainly to periodic problems for random differential inclusions. These problems can be transformed to the existence problems of random fixed points or periodic orbits of the associated Poincaré translation operators. The solvability can be so guaranteed either directly by means of nontrivial topological invariants (random degree, index of a random direct potential) or via a randomization scheme using deterministic results which are ``periodicity stable'' under implemented parameter values.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2012.04.23
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 40, No 2 (December 2012); 337 - 358;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2012.035/8383
• Subject:
  Random degree;
  random differential inclusions;
  random operators;
  random fixed points;
  random periodic orbits;
  transformation to the deterministic case;
  randomization scheme;
  Primary 47B80;
  47H40;
  34F05;
  37H10;
  60H25;
  Secondary 55M20;
  47H11;
  47H10;
  47H04;
  34A60
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2012.035
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other