Description

• Title:
  Periodic solutions of singular Duffing equations under one-sided Lipschitz condition
• Creator:
  Ma, Tiantian;
  Yang, Congmin;
  Wang, Zaihong
• Description:
  In this paper, we study the existence and multiplicity of periodic solutions for singular Duffing equations $x''+g(x)=p(t)$. When $g$ satisfies one-sided Lipschitz condition and the related time map satisfies oscillation property, we prove that the given equation has infinitely many periodic solutions.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2025 Tiantian Ma, Congmin Yang, Zaihong Wang;
  https://creativecommons.org/licenses/by-nd/4.0
• Date:
  2025.02.14
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 65, No 1 (March 2025); 301 - 320;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/58856/41561 ;https://apcz.umk.pl/TMNA/article/view/58856/41562
• Subject:
  Duffing equation;
  Poincaré-Birkhoff twist theorem;
  periodic solution;
  Primary 34C25;
  Secondary 34C15
• Identifier: https://apcz.umk.pl/TMNA/article/view/58856
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other