Iterative Functional Equations

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

Marek Kuczma (Author), Bogdan Choczewski (Author), Roman Ger (Author)

9780521070348, Cambridge University Press

Paperback / softback, published 31 July 2008

576 pages, 6 b/w illus. 12 tables
23.4 x 15.6 x 3 cm, 0.8 kg

"...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 Reviews

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

Preface
Symbols and conventions
1. Introduction
2. Iteration
3. Linear equations and branching processes
4. Regularity of solutions of linear equations
5. Analytic and integrable solutions of linear equations
6. Theory of nonlinear equations
7. Equations of higher orders and systems of linear equations
8. Equations of infinite order and systems of nonlinear equations
9. On conjugacy
10. More on the Schröder and Abel equations
11. Characterization of functions
12. Iterative roots and invariant curves
13. Linear iterative functional inequalities
References
Author index
Subject index.

Subject Areas: Functional analysis & transforms [PBKF]