Description

• Title:
  Monotone iterative method for infinite systems of parabolic functional-differential equations with nonlocal initial conditions
• Creator:
  Pudelko, Anna
• Description:
  The nonlocal initial value problem for an infinite system of parabolic semilinear functional-differential equations is studied. General operators of parabolic type of second order with variable coefficients are considered and the system is weakly coupled. We prove a theorem on existence of a classical solution in the class of continuous bounded functions and in the class of continuous functions satisfying a certain growth condition. Partial uniqueness result is obtained as well.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2010.04.23
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 36, No 1 (September 2010); 101 - 117;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2010.030/8453
• Subject:
  Infinite systems;
  nonlocal parabolic Cauchy problem;
  functional-differential equations and inequalities;
  existence and uniqueness of solutions;
  monotone iterative method;
  Primary 35K45;
  35R10;
  Secondary 35R45;
  35K99
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2010.030
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other