Mathematics – Classical Analysis and ODEs
Scientific paper
2009-03-05
Mathematics
Classical Analysis and ODEs
11 pages
Scientific paper
In this paper, we investigate the generalized Hyers--Ulam--Rassias stability
of the system of functional equations $$f(xy)=f(x)f(y), \qquad\qquad.
f(2x+y)+f(2x-y)=2f(x+y)+2f(x-y)+12f(x), $$ on Banach algebras. Indeed we
establish the superstability of above system by suitable control functions.
Gordji Eshaghi M.
Savadkouhi Bavand M.
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