Iterative Functional Equations »

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.