Iterative functional equations
著者
書誌事項
Iterative functional equations
（Encyclopedia of mathematics and its applications / edited by G.-C. Rota, v. 32）
Cambridge University Press, 2008
- : pbk
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注記
Includes bibliographical references (p. [504]-545) and author and subject indexes
内容説明・目次
内容説明
A cohesive and exhaustive account of the modern theory of iterative functional equations.
目次
- 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 Schroeder and Abel equations
- 11. Characterization of functions
- 12. Iterative roots and invariant curves
- 13. Linear iterative functional inequalities
- References
- Author index
- Subject index.
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