Description

• Title:
  Double resonance in Sturm-Liouville planar boundary value problems
• Creator:
  Sfecci, Andrea
• Description:
  We provide some existence results for Sturm-Liouville boundary value problems associated with the planar differential system $Jz'=g(t,z) + r(t,z)$ where $g$ is suitably controlled by the gradient of two positively homogeneous functions of degree 2 and $r$ is sublinear with respect to the variable $z$ at infinity. We study the existence of solutions when a double resonance phenomenon occurs by the introduction of Landesman-Lazer type conditions. Applications to scalar second order differential equations are given.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2020 Topological Methods in Nonlinear Analysis
• Date:
  2020.05.30
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 55, No 2 (June 2020); 655 - 679;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2019.109/25736 ;https://apcz.umk.pl/TMNA/article/view/TMNA.2019.109/25737
• Subject:
  Positively homogeneous planar systems;
  Sturm-Liouville boundary value problems;
  Dirichlet problem;
  shooting method;
  double resonance;
  Landesman-Lazer conditions;
  34B15;
  37E45;
  34A34
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2019.109
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other