Author:
J. Sikorska Silesian University Institute of Mathematics Bankowa 14 PL-40-007 Katowice Poland

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Abstract  

We study the exponential functional equation f(x+y) = f(x)f(y) for (x; y) ∈ DX × X, where X is the domain of f. Regardless of the solutions of this equation, which in many special cases are already known, we investigate its stability and consider its pexiderized version. The intention of the paper is to give quite general approach to the studies of this subject as well as to describe the properties of D so that the results include those concerning orthogonal and some other conditional exponential equations.

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Acta Mathematica Hungarica
Language English
Size B5
Year of
Foundation
1950
Volumes
per Year
3
Issues
per Year
6
Founder Magyar Tudományos Akadémia  
Founder's
Address
H-1051 Budapest, Hungary, Széchenyi István tér 9.
Publisher Akadémiai Kiadó
Springer Nature Switzerland AG
Publisher's
Address
H-1117 Budapest, Hungary 1516 Budapest, PO Box 245.
CH-6330 Cham, Switzerland Gewerbestrasse 11.
Responsible
Publisher
Chief Executive Officer, Akadémiai Kiadó
ISSN 0236-5294 (Print)
ISSN 1588-2632 (Online)

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