Description

• Title:
  Multiple periodic solutions for one-sided sublinear systems: A refinement of the Poincaré-Birkhoff approach
• Creator:
  Dondè, Tobia;
  Zanolin, Fabio
• Description:
  In this paper we prove the existence of multiple periodic (harmonic and subharmonic) solutions for a class of planar Hamiltonian systems which includes the case of the second order scalar ODE $x'' + a(t)g(x) = 0$ with $g$ satisfying a one-sided condition of sublinear type. We consider the classical approach based on the Poincaré-Birkhoff fixed point theorem as well as some refinements on the side of the theory of topological horseshoes. A Duffing-type equation and an exponential nonlinearity case are studied as applications.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2020 Topological Methods in Nonlinear Analysis
• Date:
  2020.05.31
• 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); 565 - 581;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2019.104/25746 ;https://apcz.umk.pl/TMNA/article/view/TMNA.2019.104/25747
• Subject:
  Poincaré-Birkhoff theorem;
  bend-twist maps;
  topological horseshoes;
  periodic solutions;
  complex oscillations;
  Primary;
  34C25;
  34C28;
  54H20
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2019.104
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other