A note on an integrated Cauchy functional equation
type: Item
instance of: scholarly article
title: A note on an integrated Cauchy functional equation
zbMATH Open document ID: 0686.39010
DOI: 10.1007/BF02009743
author: Ka-Sing Lau
author: Huamin Gu
published in: Acta Mathematicae Applicatae Sinica. English Series
publication date: 1989-01-01T00:00:00Z
review text: The following equation \(f(x)=\int^{\infty}_{0}f(x+y)d\mu (y),\quad a.e.\quad x\geq 0,\) where \(\mu\) is a positive regular Borel measure defined in (0,\(\infty)\), called an integrated Cauchy functional equation, is discussed in order to establish its relevant nonnegative locally integrable solutions in (0,\(\infty)\).
Mathematics Subject Classification ID: 39B99
Mathematics Subject Classification ID: 45H05
zbMATH DE Number: 4124294
zbMATH Keywords: integrated Cauchy functional equation
zbMATH Keywords: nonnegative locally integrable solutions
reviewed by: Vinicio C. Boffi
MaRDI profile type: Publication
cites work: Q3707095
cites work: Q3681358
cites work: Q3687134
cites work: Q5179661
cites work: Q3855959
cites work: Q3316278
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description: scientific article; zbMATH DE number 4124294