Description

• Title:
  Asymptotically almost automorphic solutions of dynamic equations on time scales
• Creator:
  Lizama, Carlos;
  Mesquita, Jaqueline G.
• Description:
  In the present work, we introduce the concept of asymptotically almost automorphic functions on time scales and study their main properties. We study nonautonomous dynamic equations on time scales given by $x^{\Delta} (t) = A(t) x(t) + f(t)$ and $x^{\Delta} (t) = A(t) x(t) + f(t, x(t))$, $t \in \mathbb T$, where $\mathbb T$ is an invariant under translations time scale and $A \in \mathcal{R}(\mathbb T, \mathbb R^{n \times n})$. We give new criteria ensuring the existence of an asymptotically almost automorphic solution for both equations.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2019 Topological Methods in Nonlinear Analysis
• Date:
  2019.06.20
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 54, No 1 (September 2019); 59 - 80;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2019.024/17747 ;https://apcz.umk.pl/TMNA/article/view/TMNA.2019.024/17748
• Subject:
  Asymptotically almost automorphic functions;
  nonautonomous equations;
  exponential dicothomy;
  ordinary dichotomy;
  34C27;
  35L05;
  35L90
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2019.024
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other