Iterative Functional Equations

Marek Kuczma; Bogdan Choczewski; Roman Ger

doi:10.1017/CBO9781139086639

A cohesive and exhaustive account of the modern theory of iterative 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 Smítal, Mathematical Reviews

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Contents

Frontmatter
pp i-iv
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Contents
pp v-xiv
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Preface
pp xv-xvii
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Symbols and conventions
pp xviii-xx
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0 - Introduction
pp 1-12
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1 - Iteration
pp 13-50
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2 - Linear equations and branching processes
pp 51-95
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3 - Regularity of solutions of linear equations
pp 96-147
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4 - Analytic and integrable solutions of linear equations
pp 148-184
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5 - Theory of nonlinear equations
pp 185-234
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6 - Equations of higher orders and systems of linear equations
pp 235-269
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7 - Equations of infinite order and systems of nonlinear equations
pp 270-331
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8 - On conjugacy
pp 332-364
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9 - More on the Schröder and Abel equations
pp 365-388
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10 - Characterization of functions
pp 389-420
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11 - Iterative roots and invariant curves
pp 421-471
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12 - Linear iterative functional inequalities
pp 472-503
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References
pp 504-545
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Author index
pp 546-548
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Subject index
pp 549-552
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Iterative Functional Equations

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Contents

Frontmatter
pp i-iv

Contents
pp v-xiv

Preface
pp xv-xvii

Symbols and conventions
pp xviii-xx

0 - Introduction
pp 1-12

1 - Iteration
pp 13-50

2 - Linear equations and branching processes
pp 51-95

3 - Regularity of solutions of linear equations
pp 96-147

4 - Analytic and integrable solutions of linear equations
pp 148-184

5 - Theory of nonlinear equations
pp 185-234

6 - Equations of higher orders and systems of linear equations
pp 235-269

7 - Equations of infinite order and systems of nonlinear equations
pp 270-331

8 - On conjugacy
pp 332-364

9 - More on the Schröder and Abel equations
pp 365-388

10 - Characterization of functions
pp 389-420

11 - Iterative roots and invariant curves
pp 421-471

12 - Linear iterative functional inequalities
pp 472-503

References
pp 504-545

Author index
pp 546-548

Subject index
pp 549-552

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Iterative Functional Equations

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