Description

• Title:
  Nonlinear Hammerstein equations and functions of bounded Riesz-Medvedev variation
• Creator:
  Appell, Jürgen;
  Benavides, Tomas Dominguez
• Description:
  In this paper we study the solvability of a nonlinear Hammerstein type integral equation in the space of functions of bounded Riesz-Medvedev variation. To this end, we derive a compactness criterion and apply Schauder's fixed point theorem to a suitable operator whose fixed points coincide with the solutions of the integral equation.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2016.03.01
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 47, No 1 (March 2016); 319 - 332;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2016.008/7726 ;https://apcz.umk.pl/TMNA/article/view/TMNA.2016.008/7727
• Subject:
  Bounded variation;
  nonlinear integral equation;
  fixed point theorem;
  Orlicz space;
  26A45;
  26A46;
  45G10;
  47H10;
  47H30
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2016.008
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other