The superstability of d'Alembert's functional equation on step 2 nilpotent groups

Redouani, A; Elqorachi, E; Rassias, TM

dc.contributor.author	Redouani, A	en
dc.contributor.author	Elqorachi, E	en
dc.contributor.author	Rassias, TM	en
dc.date.accessioned	2014-03-01T01:27:27Z
dc.date.available	2014-03-01T01:27:27Z
dc.date.issued	2007	en
dc.identifier.issn	00019054	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/18452
dc.subject	D'Alembert's equation	en
dc.subject	Step 2 nilpotent groups	en
dc.subject	Superstability	en
dc.title	The superstability of d'Alembert's functional equation on step 2 nilpotent groups	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/s00010-007-2902-x	en
heal.identifier.secondary	http://dx.doi.org/10.1007/s00010-007-2902-x	en
heal.publicationDate	2007	en
heal.abstract	Summary. In the present paper we study the superstability of d’Alembert’s functional equations $$f(xy) +f(xy^{-1}) = 2f(x)f(y), x, y \in G, $$ and $$f(xy) + f(yx) + f(xy^{-1}) +f(y^{-1}x) = 4f(x)f(y), x, y \in G, $$ on any step 2 nilpotent group G.	en
heal.journalName	Aequationes Mathematicae	en
dc.identifier.doi	10.1007/s00010-007-2902-x	en
dc.identifier.volume	74	en
dc.identifier.issue	3	en
dc.identifier.spage	226	en
dc.identifier.epage	241	en