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| Introduction | |
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| Additive Cauchy Equation | |
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| Behavior of Additive Functions | |
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| Hyers-Ulam Stability | |
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| Hyers-Ulam-Rassias Stability | |
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| Stability on a Restricted Domain | |
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| Method of Invariant Means | |
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| Fixed Point Method | |
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| Composite Functional Congruences | |
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| Pexider Equation | |
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| Remarks | |
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| Generalized Additive Cauchy Equations | |
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| Functional Equation f(ax + by) = af(x) + bf(y) | |
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| Additive Cauchy Equations of General Form | |
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| Functional Equation f(x + y)<sup>2</sup> = (f(x) + f(y))<sup>2</sup> | |
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| Hossz�'s Functional Equation | |
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| Stability in the Sense of Borelli | |
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| Hyers-Ulam Stability | |
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| Generalized Hossz�'s Functional Equation | |
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| Hossz�'s Equation is not Stable on the Unit Interval | |
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| Hossz�'s Functional Equation of Pexider Type | |
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| Homogeneous Functional Equation | |
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| Homogeneous Equation Between Banach Algebras | |
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| Superstability on a Restricted Domain | |
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| Homogeneous Equation Between Vector Spaces | |
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| Homogeneous Equation of Pexider Type | |
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| Linear Functional Equations | |
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| A System for Linear Functions | |
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| Functional Equation f(x + cy) = f(x) + cf(y) | |
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| Stability for Other Equations | |
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| Jensen's Functional Equation | |
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| Hyers-Ulam-Rassias Stability | |
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| Stability on a Restricted Domain | |
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| Fixed Point Method | |
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| Lobacevskii's Functional Equation | |
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| Quadratic Functional Equations | |
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| Hyers-Ulam-Rassias Stability | |
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| Stability on a Restricted Domain | |
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| Fixed Point Method | |
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| Quadratic Functional Equation of Other Type | |
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| Quadratic Functional Equation of Pexider Type | |
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| Exponential Functional Equations | |
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| Superstability | |
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| Stability in the Sense of Ger | |
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| Stability on a Restricted Domain | |
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| Exponential Functional Equation of Other Type | |
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| Multiplicative Functional Equations | |
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| Superstability | |
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| �Multiplicative Functionals | |
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| Theory of AMNM Algebras | |
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| Functional Equation f(x<sup>y</sup>) = f(x)<sup>y</sup> | |
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| Functional Equation f(x + y) = f(x)f(y)f(1/x + 1/y) | |
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| Logarithmic Functional Equations | |
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| Functional Equation f(x<sup>y</sup>) = yf(x) | |
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| Superstability of Equation f(x<sup>y</sup>) = yf(x) | |
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| Functional Equation of Heuvers | |
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| Trigonometric Functional Equations | |
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| Cosine Functional Equation | |
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| Sine Functional Equation | |
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| Trigonometric Equations with Two Unknowns | |
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| Butler-Rassias Functional Equation | |
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| Remarks | |
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| Isometric Functional Equation | |
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| Hyers-Ulam Stability | |
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| Stability on a Restricted Domain | |
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| Fixed Point Method | |
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| Wigner Equation | |
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| Miscellaneous | |
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| Associativity Equation | |
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| Equation of Multiplicative Derivation | |
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| Gamma Functional Equation | |
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| Fibonacci Functional Equation | |
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| Bibliography | |
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| Index | |