Description

• Title:
  On the existence of periodic solutions for a class of non-autonomous differential delay equations
• Creator:
  Cheng, Rong;
  Xu, Junxiang;
  Zhang, Dongfebg
• Description:
  This paper considers the existence of periodic solutions for a class of non-autonomous differential delay equations $$ x'(t)=-\sum_{i=1}^{n-1}f(t,x(t-i\tau)), \leqno{(*)} $$ where $\tau> 0$ is a given constant. It is shown that under some conditions on $f$ and by using symplectic transformations, Floquet theory and some results in critical point theory, the existence of single periodic solution of the differential delay equation $(*)$ is obtained. These results generalize previous results on the cases that the equations are autonomous.
• 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 35, No 1 (March 2010); 139 - 154;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2010.009/8462
• Subject:
  Hamiltonian system;
  Floquet theory;
  symplectic transformation;
  periodic solution;
  delay equation;
  critical point theory;
  34C25;
  37J45
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2010.009
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other