Description

• Title:
  An application of coincidence degree theory to cyclic feedback type systems associated with nonlinear differential operators
• Creator:
  Feltrin, Guglielmo;
  Zanolin, Fabio
• Description:
  Using Mawhin's coincidence degree theory, we obtain some new continuation theorems which are designed to have as a natural application the study of the periodic problem for cyclic feedback type systems. We also discuss some examples of vector ordinary differential equations with a $\phi$-Laplacian operator where our results can be applied. Our main contribution in this direction is to obtain a continuation theorem for the periodic problem associated with $(\phi(u'))' + \lambda k(t,u,u') = 0$, under the only assumption that $\phi$ is a homeomorphism.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2017 Topological Methods in Nonlinear Analysis
• Date:
  2017.10.28
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 50, No 2 (December 2017); 683 - 726;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2017.038/13234 ;https://apcz.umk.pl/TMNA/article/view/TMNA.2017.038/13235
• Subject:
  Cyclic feedback systems;
  coincidence degree;
  periodic solutions;
  continuation theorems;
  $\phi$-Laplacian operators;
  34C25;
  47H11;
  47J05;
  47N20
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2017.038
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other