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Abstract
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Advances in Difference Equations
Volume 2009 (2009), Article ID 618463, 11 pages
doi:10.1155/2009/618463

On approximate cubic homomorphisms

M.Eshaghi Gordji and M.Bavand Savadkouhi

Department of Mathematics, Semnan University, P. O. Box 35195-363, Semnan, Iran

Abstract

We investigate the generalized Hyers-Ulam-Rassias stability of the system of functional equations: f(xy)=f(x)f(y), f(2x+y)+f(2x−y)=2f(x+y)+2f(x−y)+12f(x), on Banach algebras. Indeed we establish the superstability of this system by suitable control functions.