Description

• Title:
  Study of a logistic equation with local and non-local reaction terms
• Creator:
  Delgado, Manuel;
  Figueiredo, Giovany M.;
  Pimenta, Marcos T.O.;
  Suárez, Antonio
• Description:
  We examine a logistic equation with local and non-local reaction terms both for time dependent and steady-state problems. Mainly, we use bifurcation and monotonicity methods to prove the existence of positive solutions for the steady-state equation and sub-supersolution method for the long time behavior for the time dependent problem. The results depend strongly on the size and sign of the parameters on the local and non-local terms.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2016.06.01
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 47, No 2 (June 2016); 693 - 713;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2016.026/8061 ;https://apcz.umk.pl/TMNA/article/view/TMNA.2016.026/8062
• Subject:
  Logistic equation;
  local and non-local terms;
  bifurcation methods;
  Primary;
  35R09;
  45K05;
  Secondary;
  35J60;
  35K35;
  35A25
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2016.026
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other