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Functional equations and inequalities in several variables /

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.

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Czerwik, Stefan
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Singapore ; River Edge, N.J. : World Scientific, ©2002.
Temas:
Acceso en línea:Texto completo

MARC

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100 1 |a Czerwik, Stefan. 
245 1 0 |a Functional equations and inequalities in several variables /  |c Stefan Czerwik. 
260 |a Singapore ;  |a River Edge, N.J. :  |b World Scientific,  |c ©2002. 
300 |a 1 online resource 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
504 |a Includes bibliographical references (pages 387-406) and index. 
505 0 |a 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. 
520 8 |a 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.  |b 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. 
590 |a ProQuest Ebook Central  |b Ebook Central Academic Complete 
650 0 |a Functional equations. 
650 0 |a Inequalities (Mathematics) 
650 6 |a Équations fonctionnelles. 
650 6 |a Inégalités (Mathématiques) 
650 7 |a Functional equations  |2 fast 
650 7 |a Inequalities (Mathematics)  |2 fast 
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