Functional Equations In Several Variables

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Functional Equations In Several Variables

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Author : J. Aczél
language : en
Publisher: Cambridge University Press
Release Date : 1989

Functional Equations In Several Variables written by J. Aczél and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Mathematics categories.

This treatise deals with modern theory of functional equations in several variables and their applications to mathematics, information theory, and the natural, behavioural and social sciences. The authors have chosen to emphasize applications, though not at the expense of theory, so they have kept the prerequisites to a minimum.

Functional Equations And Inequalities In Several Variables

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Author : Stefan Czerwik
language : en
Publisher: World Scientific
Release Date : 2002

Functional Equations And Inequalities In Several Variables written by Stefan Czerwik and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Mathematics categories.

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.

Stability Of Functional Equations In Several Variables

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Author : D.H. Hyers
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Stability Of Functional Equations In Several Variables written by D.H. Hyers and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.

The notion of stability of functional equations of several variables in the sense used here had its origins more than half a century ago when S. Ulam posed the fundamental problem and Donald H. Hyers gave the first significant partial solution in 1941. The subject has been revised and de veloped by an increasing number of mathematicians, particularly during the last two decades. Three survey articles have been written on the subject by D. H. Hyers (1983), D. H. Hyers and Th. M. Rassias (1992), and most recently by G. L. Forti (1995). None of these works included proofs of the results which were discussed. Furthermore, it should be mentioned that wider interest in this subject area has increased substantially over the last years, yet the pre sentation of research has been confined mainly to journal articles. The time seems ripe for a comprehensive introduction to this subject, which is the purpose of the present work. This book is the first to cover the classical results along with current research in the subject. An attempt has been made to present the material in an integrated and self-contained fashion. In addition to the main topic of the stability of certain functional equa tions, some other related problems are discussed, including the stability of the convex functional inequality and the stability of minimum points. A sad note. During the final stages of the manuscript our beloved co author and friend Professor Donald H. Hyers passed away.

Regularity Properties Of Functional Equations In Several Variables

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Author : Antal Járai
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-03-30

Regularity Properties Of Functional Equations In Several Variables written by Antal Járai and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-03-30 with Mathematics categories.

This book illustrates the basic ideas of regularity properties of functional equations by simple examples. It then treats most of the modern results about regularity of non-composite functional equations of several variables in a unified fashion. A long introduction highlights the basic ideas for beginners and several applications are also included.

Functional Equations In Several Variables

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Author : J. Aczel
language : en
Publisher:
Release Date : 1989

Functional Equations In Several Variables written by J. Aczel and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with categories.

Lectures On Functional Equations And Their Applications

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Author : J. Aczel
language : en
Publisher: Courier Corporation
Release Date : 2006-02-01

Lectures On Functional Equations And Their Applications written by J. Aczel and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-02-01 with Mathematics categories.

Numerous detailed proofs highlight this treatment of functional equations. Starting with equations that can be solved by simple substitutions, the book then moves to equations with several unknown functions and methods of reduction to differential and integral equations. Also includes composite equations, equations with several unknown functions of several variables, vector and matrix equations, more. 1966 edition.

Functional Equations In Several Variables

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Author : J. Aczél
language : en
Publisher:
Release Date : 2014-05-14

Functional Equations In Several Variables written by J. Aczél and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-14 with MATHEMATICS categories.

This treatise deals with modern theory of functional equations in several variables and their applications to mathematics.

Functional Equations In Several Variables

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Author : Aczel J
language : en
Publisher:
Release Date : 2014-02-19

Functional Equations In Several Variables written by Aczel J and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-02-19 with categories.

This treatise deals with modern theory of functional equations in several variables and their applications to mathematics, information theory, and the natural, behavioural and social sciences. The authors have chosen to emphasize applications, though not at the expense of theory, so they have kept the prerequisites to a minimum; the reader need be familiar only with calculus and elementary algebra, and have a basic knowledge of Lebesgue integration. Where, for certain applications, more advanced topics are needed, the authors have included references and explained the results used. Moreover, the book has been designed so that the chapters can be read almost independently of each other, enabling a selection of material to be chosen for introductory and advanced courses. At the end of each chapter are included exercises and further results, some 400 in all, which extend the material presented in the text and also test it. The history of functional equations is well documented in a final chapter which is complemented by an encyclopedic bibliography running to over 1600 items.

Functional Equations In Several Variables

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Author : J. Aczél
language : en
Publisher:
Release Date : 1989

Functional Equations In Several Variables written by J. Aczél and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Functional equations categories.

This treatise deals with modern theory of functional equations in several variables and their applications to mathematics.

Functional Equations In Several Variables With Applications To Mathematics Information Theory And To The Natural And Social Sciences

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Author : J. ACZEL
language : en
Publisher:
Release Date :

Functional Equations In Several Variables With Applications To Mathematics Information Theory And To The Natural And Social Sciences written by J. ACZEL and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.