Description

• Title:
  $R_{\delta}$-set of solutions to a boundary value problem
• Creator:
  Šeda, Valter
• Description:
  In the paper a sufficient condition for the existence of an $R_{\delta}$-set of solutions to a generalized boundary value problem on a compact interval is established. The proof is based on the Browder-Gupta theorem on the existence of an $R_{\delta}$-set of solutions of an operator equation and on the relation between boundary value problems and Fredholm operators. Similar result is obtained by means of the Vidossich theorem.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2000.09.01
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 16, No 1 (September 2000); 93 - 101;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2000.032/9977
• Subject:
  Compact $R_{\delta}$-set;
  generalized boundary value problem;
  Fredholm operator;
  proper mapping;
  Browder-Gupta theorem;
  Vidossich theorem;
  34B15;
  47H15;
  47N20;
  54C10
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2000.032
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other