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On Hyers-Ulam stability for a class of functional equations. (English) Zbl 0879.39009

Several strong theorems concerning the stability of the general function equation \(g(F(x,y))= H(g(x),g(y),x,y)\) are proved. Equations in a single variable like \( g(x)= S(g(B(x)),x)\) or \(g(G(x))= J(g(x),x)\) or equations of the form \(g(F(x,y))= H(g(x),g(y))\) are also studied in detail from the point of view of stability.

MSC:

39B52 Functional equations for functions with more general domains and/or ranges
39B72 Systems of functional equations and inequalities
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References:

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