Non-periodic solutions of the Goła̧b–Schinzel type functional equation-Reference-Cited by-同舟云学术

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Non-periodic solutions of the Goła̧b–Schinzel type functional equation

Published:2022-11-29 Issue:1 Volume:78 Page:
ISSN:1422-6383
Container-title:Results in Mathematics
language:en
Short-container-title:Results Math

Author:

Chudziak Jacek^ORCID

Abstract

AbstractWe determine the solutions of the Goła̧b-Schinzel type functional equation in the class of non-periodic functions. Applying this result we give a positive answer to the problem raised by E. Jabłońska (Aequationes Math 87:125–133, 2014).

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Mathematics (miscellaneous)

Link

https://link.springer.com/content/pdf/10.1007/s00025-022-01790-6.pdf

Reference19 articles.

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2. Aichinger, E., Farag, M.: On when the multiplicative center of a near-ring is a subnear-ring. Aequationes Math. 68, 46–59 (2004)

3. Baron, K., Wesołowski, J.: From invariance under binomial thinning to unification of the Cauchy and the Goła̧b-Schinzel type equations. Res. Math. 76, 168 (2021)

4. Brillouët, N., Dhombres, J.: Equations fonctionnelles et recherche de sous-groupes. Aequationes Math. 31, 253–293 (1986)

5. Brzdȩk, J.: Subgroups of the group $$Z_n$$ and a generalization of the Goła̧b-Schinzel functional equation. Aequationes Math. 43, 59–71 (1992)

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