Description

• Title:
  Semilinear inclusions with nonlocal conditions without compactness in non-reflexive spaces
• Creator:
  Benedetti, Irene;
  Väth, Martin
• Description:
  An existence result for an abstract nonlocal boundary value problem $x'\in A(t)x(t)+F(t,x(t))$, $Lx\in B(x)$, is given, where $A(t)$ determines a linear evolution operator, $L$ is linear, and $F$ and $B$ are multivalued. To avoid compactness conditions, the weak topology is employed. The result applies also in nonreflexive spaces under a hypothesis concerning the De Blasi measure of noncompactness. Even in the case of initial value problems, the required condition is essentially milder than previously known results.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2016.10.05
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 48, No 2 (December 2016); 613 - 636;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2016.061/9885 ;https://apcz.umk.pl/TMNA/article/view/TMNA.2016.061/9886
• Subject:
  Weak measure of noncompactness;
  weakly condensing map;
  semilinear differential inclusion;
  nonlocal boundary condition;
  fixed point theorems with weak topology;
  containment result;
  Primary;
  34B10;
  34B15;
  35K58;
  Secondary;
  37L05;
  47H05;
  47H08;
  47H10
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2016.061
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other