Description

• Title:
  Existence of multiple positive solutions for a nonlocal boundary value problem
• Creator:
  Karakostas, George L.;
  Tsamatos, Panagiotis Ch.
• Description:
  Sufficient conditions are given for the existence of multiple positive solutions of a boundary value problem of the form $x''(t)+q(t)f(x(t))=0$, $t\in [0,1]$, $x(0)=0$ and $x(1)=\int_{\alpha}^{\beta}x(s)dg(s)$, where $0< \alpha < \beta < 1$. A weaker boundary value problem is used to get information on the corresponding integral operator. Then the results follow by applying the Krasnosel'skiĭ fixed point theorem on a suitable cone.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2002.03.01
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 19, No 1 (March 2002); 109 - 121;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2002.007/9662
• Subject:
  Nonlocal boundary value problems;
  multiple positive solutions;
  Krasnosel'skiĭ's fixed point theorem;
  34B18
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2002.007
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other