Description

• Title:
  Multiple periodic solutions of Hamiltonian systems in the plane
• Creator:
  Fonda, Alessandro;
  Ghirardelli, Luca
• Description:
  Our aim is to prove a multiplicity result for periodic solutions of Hamiltonian systems in the plane, by the use of the Poincaré-Birkhoff Fixed Point Theorem. Our main theorem generalizes previous results obtained for scalar second order equations by Lazer and McKenna [< i> Large scale oscillatory behaviour in loaded asymmetric systems< /i> , Ann. Inst. H. Poincaré Anal. Non Linéaire < b> 4< /b> (1987), 243–274] and Del Pino, Manasevich and Murua [< i> On the number of $2\pi$-periodic solutions for $u''+g(u) =s(1+h(t))$ using the Poincaré–Birkhoff Theorem< /i> , J. Differential Equations < b> 95< /b> (1992), 240–258].
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2010.04.23
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 36, No 1 (September 2010); 27 - 38;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2010.026/8449
• Subject:
  Multiplicity of periodic solutions;
  nonlinear boundary value problems;
  Poincaré-Birkhoff Theorem;
  34C25
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2010.026
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other