A BIBLIOGRAPHY ON FUNCTIONAL EQUATIONS

Abstract

This is a bibliography on the literature of functional equations, up to approximately the middle of 1962. It consists of two parts: a list of papers and books up to the end of 1945, and a similar list from 1946 on, with remarks on the contents. This sub-division is due to the fact that the author was not able to devote more than a fraction of his time to this work. It is planned that the first part shall be re-edited with comments similar to the second, and eventually the whole bibliography shall be stream lined into a whole. In order to compile such a bibliography, it was necessary first to define a Functional Equation. This has been done in the past several ways, some of which appear too wide, others too narrow. In the most general case, a Functional Equation is an equation which serves to determine one, or more unknown functions, or classes of such functions. In this sense, every differential,-difference, and integral equation is also a Functional Equation; to compile a bibliography on such a wide class is almost certainly impossible and most certainly unnecessary.

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Document Details

Document Type
Technical Report
Publication Date
Apr 30, 1963
Accession Number
AD0414115

Entities

People

  • Gyorgy I. Targonski

Organizations

  • University of Geneva

Tags

Communities of Interest

  • Advanced Electronics
  • C4I

DTIC Thesaurus Topics

  • Air Force
  • Analytic Functions
  • Arithmetic
  • Bibliographies
  • Books
  • Differential Equations
  • Equations
  • Government Procurement
  • Integral Equations
  • Integrals
  • Iterations
  • Linear Differential Equations
  • Mathematics
  • Periodic Functions
  • Probability
  • Stochastic Processes
  • United States

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Library and Information Science