Description

• Title:
  A class of positive linear operators and applications to nonlinear boundary value problems
• Creator:
  Webb, Jeffrey R. L.
• Description:
  We discuss the class of $u_0$-positive linear operators relative to two cones and use a comparison theorem for this class to give some short proofs of new fixed point index results for some nonlinear operators that arise from boundary value problems. In particular, for some types of boundary conditions, especially nonlocal ones, we obtain a new existence result for multiple positive solutions under conditions which depend solely on the positive eigenvalue of a linear operator. We also treat some problems where the nonlinearity $f(t,u)$ is singular at $u=0$.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2012.04.23
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 39, No 2 (June 2012); 221 - 242;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2012.013/8362
• Subject:
  Positive linear operator;
  fixed point index;
  positive solution;
  nonlocal boundary value problem;
  Primary 34B18;
  47B65;
  Secondary 34B10;
  47H07;
  47H11
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2012.013
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other