Stability of the Pexiderized Lobacevski equation
type: Item
instance of: scholarly article
title: Stability of the Pexiderized Lobacevski equation
zbMATH Open document ID: 1303.39018
DOI: 10.1155/2011/540274
author: Gwang Hui Kim
published in: Journal of Applied Mathematics
publication date: 2011-10-27T00:00:00Z
review text: Summary: The aim of this paper is to investigate the solution and the superstability of the Pexiderized Lobachevski equation \(f((x + y)/2)^2 = g(x)h(y)\), where \(f, g, h : G^2 \to \mathbb C\) are unknown functions on an abelian semigroup \((G, +)\). The obtained result is a generalization of \textit{P. Găvruţă}\,'s result in 1994 [J. Math. Anal. Appl. 184, No. 3, 431--436 (1994; Zbl 0818.46043)] and \textit{G. H. Kim}'s result in 2010 [J. Nonlinear Sci. Appl. 4, No. 1, 11--18 (2011; Zbl 1206.39024)].
Mathematics Subject Classification ID: 39B82
Mathematics Subject Classification ID: 39B52
zbMATH DE Number: 5964449
Wikidata QID: Q58690458
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2011/540274
OpenAlex ID: W2003368875
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description: scientific article; zbMATH DE number 5964449