Description

• Title:
  Infinitely many solutions for systems of multi-point boundary value problems using variational methods
• Creator:
  Graef, John R.;
  Heidarkhani, Shapour;
  Kong, Lingju
• Description:
  In this paper, we obtain the existence of infinitely many classical solutions to the multi-point boundary value system $$ \cases -(\phi_{p_i}(u'_{i}))'=\lambda F_{u_{i}}(x,u_{1},\ldots,u_{n}),\qquad t\in (0,1),\\ \noalign{\medskip} \displaystyle u_{i}(0)=\sum_{j=1}^m a_ju_i(x_j),\quad u_{i}(1)=\sum_{j=1}^m b_ju_i(x_j), \endcases \quad i=1,\ldots,n. $$ Our analysis is based on critical point theory.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2013.04.22
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 42, No 1 (September 2013); 105 - 118;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2013.027/8331
• Subject:
  Infinitely many solutions;
  multi-point boundary value problems;
  multiplicity results;
  critical point theory;
  34B10;
  34B15
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2013.027
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other