Titlebook: Stability of Functional Equations in Several Variables; Donald H. Hyers,George Isac,Themistocles M. Rassia Book 1998 Springer Science+Busi

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Stability of the Quadratic Functional Equation,... It follows then that .... is quadratic if and only if there exists a unique symmetric function .. × .. . .., additive in . for fixed y, such that . (.) = .(., .). The biadditive function ., the polar of ., is given by

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1421-1750 n S. Ulam posed the fundamental problem and Donald H. Hyers gave the first significant partial solution in 1941. The subject has been revised and de­ veloped by an increasing number of mathematicians, particularly during the last two decades. Three survey articles have been written on the subject by

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Prologue, functional equation by a functional inequality, .? The present work is designed to provide an introduction to the formulation and solution of such problems by examination of various researches most of which has been carried out during the last two decades.