Regularity Properties Of Functional Equations In Several Variables PDF Download
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Author | : Antal Járai |
Publisher | : Springer Science & Business Media |
Total Pages | : 367 |
Release | : 2006-03-30 |
Genre | : Mathematics |
ISBN | : 038724414X |
Download Regularity Properties of Functional Equations in Several Variables Book in PDF, ePub and Kindle
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.
Author | : Antal Járai |
Publisher | : Springer |
Total Pages | : 0 |
Release | : 2008-11-01 |
Genre | : Mathematics |
ISBN | : 9780387505077 |
Download Regularity Properties of Functional Equations in Several Variables Book in PDF, ePub and Kindle
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.
Author | : Stefan Czerwik |
Publisher | : World Scientific |
Total Pages | : 424 |
Release | : 2002 |
Genre | : Mathematics |
ISBN | : 9789810248376 |
Download Functional Equations and Inequalities in Several Variables Book in PDF, ePub and Kindle
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.
Author | : J. Aczél |
Publisher | : Cambridge University Press |
Total Pages | : 490 |
Release | : 1989 |
Genre | : Mathematics |
ISBN | : 9780521352765 |
Download Functional Equations in Several Variables Book in PDF, ePub and Kindle
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.
Author | : D.H. Hyers |
Publisher | : Springer Science & Business Media |
Total Pages | : 323 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 1461217903 |
Download Stability of Functional Equations in Several Variables Book in PDF, ePub and Kindle
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.
Author | : Antal Járai |
Publisher | : |
Total Pages | : 77 |
Release | : 1996 |
Genre | : |
ISBN | : |
Download Regularity Properties of Functional Equations Book in PDF, ePub and Kindle
Author | : Themistocles M. Rassias |
Publisher | : Springer |
Total Pages | : 394 |
Release | : 2014-11-21 |
Genre | : Mathematics |
ISBN | : 1493912860 |
Download Handbook of Functional Equations Book in PDF, ePub and Kindle
This handbook consists of seventeen chapters written by eminent scientists from the international mathematical community, who present important research works in the field of mathematical analysis and related subjects, particularly in the Ulam stability theory of functional equations. The book provides an insight into a large domain of research with emphasis to the discussion of several theories, methods and problems in approximation theory, analytic inequalities, functional analysis, computational algebra and applications. The notion of stability of functional equations has its origins with S. M. Ulam, who posed the fundamental problem for approximate homomorphisms in 1940 and with D. H. Hyers, Th. M. Rassias, who provided the first significant solutions for additive and linear mappings in 1941 and 1978, respectively. During the last decade the notion of stability of functional equations has evolved into a very active domain of mathematical research with several applications of interdisciplinary nature. The chapters of this handbook focus mainly on both old and recent developments on the equation of homomorphism for square symmetric groupoids, the linear and polynomial functional equations in a single variable, the Drygas functional equation on amenable semigroups, monomial functional equation, the Cauchy–Jensen type mappings, differential equations and differential operators, operational equations and inclusions, generalized module left higher derivations, selections of set-valued mappings, D’Alembert’s functional equation, characterizations of information measures, functional equations in restricted domains, as well as generalized functional stability and fixed point theory.
Author | : L szl¢ Szkelyhidi |
Publisher | : World Scientific |
Total Pages | : 210 |
Release | : 2013 |
Genre | : Mathematics |
ISBN | : 9814407011 |
Download Functional Equations on Hypergroups Book in PDF, ePub and Kindle
The theory of hypergroups is a rapidly developing area of mathematics due to its diverse applications in different areas like probability, harmonic analysis, etc. This book exhibits the use of functional equations and spectral synthesis in the theory of hypergroups. It also presents the fruitful consequences of this delicate OC marriageOCO where the methods of spectral analysis and synthesis can provide an efficient tool in characterization problems of function classes on hypergroups.This book is written for the interested reader who has open eyes for both functional equations and hypergroups, and who dares to enter a new world of ideas, a new world of methods OCo and, sometimes, a new world of unexpected difficulties.
Author | : Andrei D. Polyanin |
Publisher | : CRC Press |
Total Pages | : 1542 |
Release | : 2006-11-27 |
Genre | : Mathematics |
ISBN | : 1420010514 |
Download Handbook of Mathematics for Engineers and Scientists Book in PDF, ePub and Kindle
Covering the main fields of mathematics, this handbook focuses on the methods used for obtaining solutions of various classes of mathematical equations that underlie the mathematical modeling of numerous phenomena and processes in science and technology. The authors describe formulas, methods, equations, and solutions that are frequently used in scientific and engineering applications and present classical as well as newer solution methods for various mathematical equations. The book supplies numerous examples, graphs, figures, and diagrams and contains many results in tabular form, including finite sums and series and exact solutions of differential, integral, and functional equations.
Author | : J. Aczel |
Publisher | : |
Total Pages | : 0 |
Release | : 1989 |
Genre | : |
ISBN | : |
Download Functional Equations in Several Variables Book in PDF, ePub and Kindle