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Iterative Functional Equations : Encyclopedia of Mathematics and Its Applications - Marek Kuczma

Iterative Functional Equations

Encyclopedia of Mathematics and Its Applications

Hardcover

Published: 27th July 1990
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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 is closely related. The authors introduce the reader to the theory and then explore the most recent developments and general results. Fundamental notions such as the existence and uniqueness of solutions to the equations are stressed throughout, as are applications of the theory to such areas as branching processes, differential equations, ergodic theory, functional analysis and geometry. Other topics covered include systems of linear and nonlinear equations of finite and infinite ORD various function classes, conjugate and commutable functions, linearization, iterative roots of functions, and special functional equations.

"...a cohesive and exhaustive account of contemporary theory of iterative functional equations. It contains many results that have appeared before only in the research literature...the most representative publication on iterative functional equations in the literature." Jaroslav Smital, Mathematical Reviews

Preface
Symbols and conventions
Introduction
Iteration
Linear equations and branching processes
Regularity of solutions of linear equations
Analytic and integrable solutions of linear equations
Theory of nonlinear equations
Equations of higher orders and systems of linear equations
Equations of infinite order and systems of nonlinear equations
On conjugacy
More on the Schr├Ěder and Abel equations
Characterization of functions
Iterative roots and invariant curves
Linear iterative functional inequalities
References
Author index
Subject index
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521355612
ISBN-10: 0521355613
Series: Encyclopedia of Mathematics and Its Applications
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 576
Published: 27th July 1990
Publisher: Cambridge University Press
Country of Publication: GB
Dimensions (cm): 23.4 x 15.6  x 3.7
Weight (kg): 1.01