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On Hyers-Ulam stability for a class of functional equations (Q1364853)

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scientific article; zbMATH DE number 1053600
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On Hyers-Ulam stability for a class of functional equations
scientific article; zbMATH DE number 1053600

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    On Hyers-Ulam stability for a class of functional equations (English)
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    11 December 1997
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    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.
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    Hyers-Ulam stability
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    functional equations
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