Description

• Title:
  Unified approach to bounded, periodic and almost periodic solutions of differential systems
• Creator:
  Andres, Jan;
  Krajc, Bohumil
• Description:
  The criteria for an entirely bounded solution of a quasi-linear differential system are developed via asymptotic boundary value problems. The same principle allows us to deduce at the same time the existence of periodic orbits, when assuming additionally periodicity in time variables of the related right-hand sides. For almost periodicity, the situation is unfortunately not so straightforward. Nevertheless, for the Lipschitzean uniformly almost periodic (in time variables) systems, we are able to show that every bounded solution becomes almost periodic as well.
• Object availability:
  free access
• Date:
  1997.09.30
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Annales Mathematicae Silesianae; Vol. 11 (1997); 39-53;
  Annales Mathematicae Silesianae; Tom 11 (1997); 39-53;
  2391-4238;
  0860-2107
• Format:
  application/pdf
• Publisher:
  University of Silesia Press
• Relation: https://journals.us.edu.pl/index.php/AMSIL/article/view/14183/10911
• Subject:
  asymptotic boundary value problems;
  boundedness;
  periodicity;
  almost periodicity;
  unified approach
• Identifier: https://journals.us.edu.pl/index.php/AMSIL/article/view/14183
• Data provider:
  Czasopisma Wydawnictwa Uniwersytetu Śląskiego
• Can I use it?:
  seek permission
• Type:
  other