書誌事項

Iterative functional equations

Marek Kuczma, Bogdan Choczewski, Roman Ger

(Encyclopedia of mathematics and its applications / edited by G.-C. Rota, v. 32)

Cambridge University Press, 1990

大学図書館所蔵 件 / 94

この図書・雑誌をさがす

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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