Description

• Title:
  Infinitely many homoclinic orbits for supperlinear Hamiltonian systems
• Creator:
  Wang, Jun;
  Xu, Junxiang;
  Zhang, Fubao
• Description:
  In this paper we study the first order nonautonomous Hamiltonian system $$ \dot{z}=\mathcal J H_{z}(t,z), $$ where $H(t,z)$ depends periodically on $t$. By using a generalized linking theorem for strongly indefinite functionals, we prove that the system has infinitely many homoclinic orbits for weak superlinear cases.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2012.04.23
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 39, No 1 (March 2012); 1 - 22;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2012.001/8351
• Subject:
  Homoclinic orbits;
  Hamiltonian systems;
  (C)_c-condition;
  variational methods;
  37C29;
  34C37;
  37J10
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2012.001
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other