Mathematical Equations - Functional, Mathematics - Sets, General Topology, & Categories
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Overview
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 order in various function classes, conjugate and commutable functions, linearization, iterative roots of functions, and special functional equations.Editorials
From the Publisher
"...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 Smítal, Mathematical ReviewsBook Details
Published
July 1, 2008
Publisher
Cambridge University Press
Pages
576
Format
Paperback
ISBN
9780521070348