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101 0 $aeng
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183   $acr
200 10$aFunctional equations and inequalities in several variables$b[electronic resource] /$fStefan Czerwik
210   $aRiver Edge, N.J. $cWorld Scientific$dc2002
215   $a1 online resource (ix, 410 p.) 
300   $aBibliographic Level Mode of Issuance: Monograph
311   $a981-02-4837-7 
320   $aIncludes bibliographical references and index.
327   $aFunctional Equations and Inequalities in Linear Spaces: Linear Spaces and Semilinear Topology; Convex Functions; Cauchy's Exponential Equation; Polynomial Functions and Their Extensions; Quadratic Mappings; Quadratic Equation on an Interval; Ulam-Hyers-Rassias Stability of Functional Equations: Additive Cauchy Equation; Multiplicative Cauchy Equation; Jensen's Functional Equation; Gamma Functional Equation; Stability of Homogeneous Mappings; Stability of Functional Equations in Function Spaces; Stability in the Lipschitz Norms; Round-off Stability of Iterations; Functional Equations in Set-Valued Functions: Cauchy's Set-Valued Functional Equation; Pexider's Functional Equation; Subadditive Set-Valued Functions; Hahn-Banach Type Theorem and Applications; Subquadratic Set-Valued Functions; Iteration Semigroups of Set-Valued Functions.
330 8 $aAn outline of the theory of functional equations and inequalities in several variables. The work is divided into three parts, addressing: functional equations and inequalities in linear spaces; Ulam-Hyers-Rassias stability of functional equations; and functional equations in set-valued functions.$bAn outline of the modern theory of functional equations and inequalities in several variables. It consists of three parts. The first is devoted to additive and convex functions defined on linear spaces with semilinear topologies. In the second part, the problems of stability of functional equations in the sense of Ulam-Hyers-Rassias and in some function spaces are considered. In the last part, the functional equations in set-valued functions are dealt with, along with many results concerning those problems.
606   $aFunctional equations
606   $aInequalities (Mathematics)
615  0$aFunctional equations.
615  0$aInequalities (Mathematics)
676   $a515.75
700   $aCzerwik$b Stefan$0451227
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910784765803321
996   $aFunctional equations and inequalities in several variables$9144853
997   $aUNINA