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Functional Equations — Results and Advances

  • Zoltán Daróczy
  • Zsolt Páles

Part of the Advances in Mathematics book series (ADMA, volume 3)

Table of contents

  1. Front Matter
    Pages i-x
  2. Classical Functional Equations and Inequalities

  3. Stability of Functional Equations

    1. Front Matter
      Pages 89-89
    2. Attila Gilányi
      Pages 99-111
    3. Zenon Moszner
      Pages 113-122
    4. Jacek Tabor, Józef Tabor
      Pages 123-132
  4. Functional Equations in One Variable and Iteration Theory

    1. Front Matter
      Pages 133-133
    2. Krzysztof Ciepliński, Marek Cezary Zdun
      Pages 135-158
  5. Composite Functional Equations and Theory of Means

    1. Front Matter
      Pages 187-187
    2. Zoltán Daróczy, Zsolt Páles
      Pages 189-200
    3. László Losonczi
      Pages 209-218
    4. Janusz Matkowski
      Pages 219-230
  6. Functional Equations on Algebraic Structures

    1. Front Matter
      Pages 243-243
    2. László Székelyhidi
      Pages 263-274
    3. Jacek Tabor
      Pages 275-290
  7. Functional Equations in Functional Analysis

    1. Front Matter
      Pages 291-291
    2. John A. Baker
      Pages 293-296
    3. Bruce Ebanks
      Pages 297-304
    4. Lajos Molnár
      Pages 305-320
  8. Bisymmetry and Associativity Type Equations on Quasigroups

    1. Front Matter
      Pages 321-321
    2. Claudi Alsina, Enric Trillas
      Pages 323-334
    3. Aleksandar Krapež
      Pages 335-349
  9. Back Matter
    Pages 361-361

About this book

Introduction

The theory of functional equations has been developed in a rapid and productive way in the second half of the Twentieth Century. First of all, this is due to the fact that the mathematical applications raised the investigations of newer and newer types of functional equations. At the same time, the self development of this theory was also very fruitful. This can be followed in many monographs that treat and discuss the various methods and approaches. These developments were also essentially influenced by a number jour­ nals, for instance, by the Publicationes Mathematicae Debrecen (founded in 1953) and by the Aequationes Mathematicae (founded in 1968), be­ cause these journals published papers from the field of functional equa­ tions readily and frequently. The latter journal also publishes the yearly report of the International Symposia on Functional Equations and a comprehensive bibliography of the most recent papers. At the same time, there are periodically and traditionally organized conferences in Poland and in Hungary devoted to functional equations and inequali­ ties. In 2000, the 38th International Symposium on Functional Equations was organized by the Institute of Mathematics and Informatics of the University of Debrecen in Noszvaj, Hungary. The report about this meeting can be found in Aequationes Math. 61 (2001), 281-320.

Keywords

calculus functional analysis functional equation operator algebra

Editors and affiliations

  • Zoltán Daróczy
    • 1
  • Zsolt Páles
    • 1
  1. 1.Institute of Mathematics and InformaticsUniversity of DebrecenHungary

Bibliographic information