Alienation of Drygas' and Cauchy's Functional Equations

• Autorzy: Youssef Aissi , Driss Zeglami , Brahim Fadli
• Języki publikacji: EN

Abstrakty

EN

Inspired by the papers [2, 10] we will study, on 2-divisible groupsthat need not be abelian, the alienation problem between Drygas' and theexponential Cauchy functional equations, which is expressed by the equation f(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 Cauchyfunctional equations as well as for Drygas' and the logarithmic Cauchy func-tional equations. Interesting consequences of these results are presented. (original abstract)

Słowa kluczowe

EN

Mathematics; Functional equation

PL

Matematyka; Równanie funkcyjne

• Czasopismo: Annales Mathematicae Silesianae
• Rocznik: 2021
• Tom: 35 (2)
• Strony: 131--148

Twórcy

autor

Youssef Aissi

• University of Moulay Ismail, Morocco

autor

Driss Zeglami

• University of Moulay Ismail, Morocco

autor

Brahim Fadli

• Doukkali Universityl, Morocco

Bibliografia

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Identyfikatory

DOI

10.2478/amsil-2021-0002