Functional Equations and Inequalities [electronic resource] /

On the Stability of a Functional Equation for Generalized Trigonometric Functions -- Some Notes on Two-Scale Difference Equations -- Some Demand Functions in a Duopoly Market with Advertising -- Solutions of a Functional Inequality in a Special Class of Functions -- On Dependence of Lipschitzian Solutions of Nonlinear Functional Inequality on an Arbitrary Function -- The Problem of Expressibility in Some Extensions of Free Groups -- On a Pythagorean Functional Equation Involving Certain Number Fields -- On a Conditional Cauchy Functional Equation Involving Cubes -- Hyers-Ulam Stability of Hosszú’s Equation -- The Functional Equation of the Square Root Spiral -- On the Superstability of the Functional Equation f(xy)=f(x)y -- Replicativity and Function Spaces -- Normal Distributions and the Functional Equation f(x+y) g(x-y) = f(x)f(y)g(x)g(-y) -- On the Polynomial-Like Iterative Functional Equation -- Distribution of Zeros and Inequalities for Zeros of Algebraic Polynomials -- A Functional Definition of Trigonometric Functions -- A Qualitative Study of Lobachevksy’s Complex Functional Equation -- Smooth Solutions of an Iterative Functional Equation -- Set-Valued Quasiconvex Functions and their Constant Selections -- Entire Solutions of the Hille-type Functional Equation -- Ulam’s Problem, Hyers’s Solution — and to Where they Led -- A Separation Lemma for the Construction of Finite Sums Decompositions -- Aleksandrov Problem and Mappings which Preserve Distances -- On Some Subclasses of Harmonic Functions.

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Bibliographic Details
Main Authors: Rassias, Themistocles M. author., SpringerLink (Online service)
Format: Texto biblioteca
Language:eng
Published: Dordrecht : Springer Netherlands : Imprint: Springer, 2000
Subjects:Mathematics., Approximation theory., Difference equations., Functional equations., Functional analysis., Functions of complex variables., Partial differential equations., Difference and Functional Equations., Approximations and Expansions., Functional Analysis., Functions of a Complex Variable., Partial Differential Equations.,
Online Access:http://dx.doi.org/10.1007/978-94-011-4341-7
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