Description

• Title:
  Alienation of Drygas' and Cauchy's functional equations
• Creator:
  Aissi, Youssef;
  Zeglami, Driss;
  Fadli, Brahim
• Description:
  Inspired by the papers [2, 10] we will study, on 2-divisible groups that need not be abelian, the alienation problem between Drygas’ and the exponential Cauchy functional equations, which is expressed by the equationf(x + y) + g(x + y) + g(x - y) = f(x)f(y) + 2g(x) + g(y) + g(-y).We also consider an analogous problem for Drygas’ and the additive Cauchy functional equations as well as for Drygas’ and the logarithmic Cauchy functional equations. Interesting consequences of these results are presented.
• Object availability:
  free access
• Date:
  2021.04.13
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Annales Mathematicae Silesianae; Vol 35 No 2 (2021); 131-148;
  Annales Mathematicae Silesianae; Tom 35 Nr 2 (2021); 131-148;
  2391-4238;
  0860-2107
• Format:
  application/pdf
• Publisher:
  University of Silesia Press
• Relation: https://journals.us.edu.pl/index.php/AMSIL/article/view/13440/10406
• Identifier: https://journals.us.edu.pl/index.php/AMSIL/article/view/13440
• Data provider:
  Czasopisma Wydawnictwa Uniwersytetu Śląskiego
• Can I use it?:
  seek permission
• Type:
  other