A Short Course on Functional Equations

Recently I taught short courses on functional equations at several universities (Barcelona, Bern, Graz, Hamburg, Milan, Waterloo).

A Short Course on Functional Equations

Recently I taught short courses on functional equations at several universities (Barcelona, Bern, Graz, Hamburg, Milan, Waterloo). My aim was to introduce the most important equations and methods of solution through actual (not artifi cial) applications which were recent and with which I had something to do. Most of them happened to be related to the social or behavioral sciences. All were originally answers to questions posed by specialists in the respective applied fields. Here I give a somewhat extended version of these lectures, with more recent results and applications included. As previous knowledge just the basic facts of calculus and algebra are supposed. Parts where somewhat more (measure theory) is needed and sketches of lengthier calcula tions are set in fine print. I am grateful to Drs. J. Baker (Waterloo, Ont.), W. Forg-Rob (Innsbruck, Austria) and C. Wagner (Knoxville, Tenn.) for critical remarks and to Mrs. Brenda Law for care ful computer-typing of the manuscript (in several versions). A note on numbering of statements and references: The numbering of Lemmata, Propositions, Theorems, Corollaries and (separately) formulae starts anew in each section. If quoted in another section, the section number is added, e.g. (2.10) or Theorem 1.2. References are quoted by the last names of the authors and the last two digits of the year, e.g. Daroczy-Losonczi [671. 1 1. An aggregation theorem for allocation problems. Cauchy equation for single-and multiplace functions. Two extension theorems.

More Books:

A Short Course on Functional Equations
Language: en
Pages: 180
Authors: J. Aczél
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

Recently I taught short courses on functional equations at several universities (Barcelona, Bern, Graz, Hamburg, Milan, Waterloo). My aim was to introduce the most important equations and methods of solution through actual (not artifi cial) applications which were recent and with which I had something to do. Most of them
A Short Course on Functional Equations
Language: en
Pages: 180
Authors: J. Aczel
Categories: Mathematics
Type: BOOK - Published: 1986-11-30 - Publisher:

Books about A Short Course on Functional Equations
Hyers-Ulam-Rassias Stability of Functional Equations in Nonlinear Analysis
Language: en
Pages: 362
Authors: Soon-Mo Jung
Categories: Mathematics
Type: BOOK - Published: 2011-04-11 - Publisher: Springer Science & Business Media

No books dealing with a comprehensive illustration of the fast developing field of nonlinear analysis had been published for the mathematicians interested in this field for more than a half century until D. H. Hyers, G. Isac and Th. M. Rassias published their book, "Stability of Functional Equations in Several
Regularity Properties of Functional Equations in Several Variables
Language: en
Pages: 363
Authors: Antal Járai
Categories: Mathematics
Type: BOOK - Published: 2005-03-03 - Publisher: Springer Science & Business Media

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
Iterative Functional Equations
Language: en
Pages: 552
Authors: Marek Kuczma, Bogdan Choczewski, Roman Ger
Categories: Mathematics
Type: BOOK - Published: 1990-07-27 - Publisher: Cambridge University Press

A cohesive and comprehensive account of the modern theory of iterative functional equations. Many of the results included have appeared before only in research literature, making this an essential volume for all those working in functional equations and in such areas as dynamical systems and chaos, to which the theory