03312nam 2200553Ia 450 991078476580332120230607221419.0981-277-811-X(CKB)1000000000402877(StDuBDS)AH24684789(SSID)ssj0000159682(PQKBManifestationID)11149770(PQKBTitleCode)TC0000159682(PQKBWorkID)10181374(PQKB)10773797(MiAaPQ)EBC1681570(WSP)00004875(Au-PeEL)EBL1681570(CaPaEBR)ebr10201249(CaONFJC)MIL505441(OCoLC)847210978(EXLCZ)99100000000040287720020730d2002 uy 0engur|||||||||||txtccrFunctional equations and inequalities in several variables[electronic resource] /Stefan CzerwikRiver Edge, N.J. World Scientificc20021 online resource (ix, 410 p.) Bibliographic Level Mode of Issuance: Monograph981-02-4837-7 Includes bibliographical references and index.Functional 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.An 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.An 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.Functional equationsInequalities (Mathematics)Functional equations.Inequalities (Mathematics)515.75Czerwik Stefan451227MiAaPQMiAaPQMiAaPQBOOK9910784765803321Functional equations and inequalities in several variables144853UNINA