Description

• Title:
  Solutions of implicit evolution inclusions with pseudo-monotone mappings
• Creator:
  Bian, Wenming
• Description:
  Existence results are given for the implicit evolution inclusions $(Bx(t))'+A(t, x(t))\ni f(t)$ and $(Bx(t))'+A(t, x(t))-G(t, x(t))\ni f(t)$ with $B$ a bounded linear operator, $A(t,\cdot)$ a bounded, coercive and pseudo-monotone set-valued mapping and $G$ a set-valued mapping of non-monotone type. Continuity of the solution set of first inclusion with respect to $f$ is also obtained which is used to solve the second inclusion.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2000.03.01
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 15, No 1 (March 2000); 101 - 113;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2000.008/10001
• Subject:
  Implicit differential inclusions;
  pseudo-monotone mappings;
  solution set;
  perturbations;
  34A09;
  34A60;
  35K22;
  47H15
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2000.008
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other