Description

• Title:
  A local existence theorem for a class of delay differential equations
• Creator:
  Vrabie, Ioan I.
• Description:
  The goal of this paper is to show that some classes of partial differential functional equations admit a natural formulation as ordinary functional differential equations in infinite dimensional Banach spaces. Moreover, the equations thus obtained are driven by continuous right-hand sides satisfying the compactness assumptions required by the infinite-dimensional version of a Peano-like existence theorem. Two applications, one to a semilinear wave equation with delay and another one to a pseudoparabolic PDE in Mechanics, are included.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2016.03.30
• 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); 597 - 612;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2016.023/8049 ;https://apcz.umk.pl/TMNA/article/view/TMNA.2016.023/8050
• Subject:
  Delay differential equations;
  local existence;
  metric fixed point arguments;
  topological fixed point arguments;
  semilinear wave equation;
  pseudoparabolic equation;
  Primary;
  34K30;
  35K70;
  Secondary;
  35L71;
  47H10;
  47H30
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2016.023
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other