Screen LibraryFunctional equations and inequalities in several variables /
This book outlines 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 equat...
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| Main Authors: | |
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| Corporate Authors: | |
| Published: |
World Scientific Pub. Co.,
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| Publisher Address: | Singapore ; River Edge, N.J. : |
| Publication Dates: | 2002. |
| Literature type: | eBook |
| Language: | English |
| Subjects: | |
| Online Access: |
http://www.worldscientific.com/worldscibooks/10.1142/4875#t=toc |
| Summary: |
This book outlines 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 - for the first time in the mathematical literature. The book contains many fresh results concerning those problems. |
| Carrier Form: | 1 online resource (ix,410pages) |
| Bibliography: | Includes bibliographical references (pages 387-406) and index. |
| ISBN: | 9789812778116 |
| CLC: | O177 |
| Contents: | pt. I. Functional equations and inequalities in linear spaces. 1. Linear spaces and semilinear topology -- 2. Convex functions -- 3. Lower hull of a convex function -- 4. Theorems of Bernstein-Doetsch, Piccard and Mehdi -- 5. Some set classes of continuous and J-convex functions -- 6. Cauchy's exponential equation -- 7. D'Alembert's equation on abelian groups -- 8. D Alembert's equation on topological groups -- 9. Polynomial functions and their extensions -- 10. Quadratic mappings -- 11. Quadratic equation on an interval -- 12. Functional equations for quadratic differences -- pt. II. Ulam-H |