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.