Iterative functional equations

by Kuczma, Marek

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A cohesive and exhaustive account of the modern theory of iterative functional equations.

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Title Statements

Full title :Iterative functional equations / Marek Kuczma, Bogdan Choczewski, Roman Ger.

Summary

A cohesive and exhaustive account of the modern theory of iterative functional equations.

Edition Statements

Publication Date:1990.

Publication Statements

Publisher(s):Cambridge University Press
Place of Publication:Cambridge [England]
Language:eng
Publication Date:1990.

The Physical Object

Description:1 online resource (xix, 552 pages) : : illustrations.

Edition Identifiers

ISBN:9781107087996, 1107087996
oclc:ocn852898998
LC Classification:QA431
Dewey Decimal:515/.62

Cover; Half Title; Title; Copyright; PREFACE; SYMBOLS AND CONVENTIONS; 0 Introduction; 0.0 Preliminaries; 0.0A. Types of equations considered; 0.0B. Problems of uniqueness; 0.0C. Fixed points; 0.0D. General solution; 0.0E. Solution depending on an arbitrary function; 0.1 Special equations; 0.1A. Change of variables; 0.1B. Schröder's, Abel's and Böttcher's equations; 0.2 Applications; 0.2A. Synthesizing judgements; 0.2B. Clock-graduation and the concept of chronon; 0.2C. Sensation scale and Fechner's law; 0.3 Iterative functional equations; 1 Iteration; 1.0 Introduction

1.1 Basic notions and some substantial facts1.1A. Iterates, orbits and fixed points; 1.1B. Limit points of the sequence of iterates; 1.1C. Theorem of SarkovskiI; 1.1D. Attractive fixed points; 1.2 Maximal domains of attraction; 1.2A. Convergence of splinters; 1.2B. Analytic mappings; 1.3 The speed of convergence of iteration sequences; 1.3A. Some lemmas; 1.3B. Splinters behaving like geometric sequences; 1.3C. Slower convergence of splinters; 1.3D. Special cases; 1.4 Iteration sequences of random-valued functions; 1.4A. Preliminaries; 1.4B. Convergence of random splinters

1.5 Some fixed-point theorems1.5A. General…

Subjects

Équations de fonctions Équations fonctionnelles Fonctions d'une variable réelle Fonctions de variables réelles Functional equations Functions of real variables Funktionalgleichung Iteration MATHEMATICS -- Calculus Mathematics -- Mathematical Analysis