Opis

• Title:
  Periodic orbits for multivalued maps with continuous margins of intervals
• Creator:
  Mai, Jiehua;
  Sun, Taixiang
• Description:
  Let $I$ be a bounded connected subset of $ \mathbb{R}$ containing more than one point, and ${\mathcal{L}}(I)$ be the family of all nonempty connected subsets of $I$. Each map from $I$ to ${\mathcal{L}}(I)$ is called a {multivalued map}. A multivalued map $F\colon I\rightarrow{\mathcal{L}}(I)$ is called a multivalued map with continuous margins if both the left endpoint and the right endpoint functions of $F$ are continuous. We show that the well-known Sharkovskiĭ theorem for interval maps also holds for every multivalued map with continuous margins $F\colon I\rightarrow{\mathcal{L}}(I)$, that is, if $F$ has an $n$-periodic orbit and $n\succ m$ (in the Sharkovskiĭ ordering), then $F$ also has an $m$-periodic orbit.
• Object availability:
  Dostęp otwarty
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2016.08.17
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  angielski
• Source:
  Topological Methods in Nonlinear Analysis; Vol 48, No 2 (December 2016); 453 - 464;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2016.052/9565 ;https://apcz.umk.pl/TMNA/article/view/TMNA.2016.052/9566
• Subject:
  Multivalued map;
  interval map;
  periodic orbit;
  period;
  Sharkovskiĭ's order;
  54C60;
  54C05;
  37E05;
  37C27
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2016.052
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  poproś o pozwolenie
• Type:
  pozostałe