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Functional Equations and Inequalities with Applications

  • Authors
  • Palaniappan Kannappan

Part of the Springer Monographs in Mathematics book series (SMM)

Table of contents

  1. Front Matter
    Pages 1-21
  2. Palaniappan Kannappan
    Pages 1-83
  3. Palaniappan Kannappan
    Pages 85-103
  4. Palaniappan Kannappan
    Pages 105-219
  5. Palaniappan Kannappan
    Pages 221-245
  6. Palaniappan Kannappan
    Pages 247-294
  7. Palaniappan Kannappan
    Pages 295-327
  8. Palaniappan Kannappan
    Pages 329-357
  9. Palaniappan Kannappan
    Pages 359-370
  10. Palaniappan Kannappan
    Pages 371-401
  11. Palaniappan Kannappan
    Pages 403-467
  12. Palaniappan Kannappan
    Pages 469-492
  13. Palaniappan Kannappan
    Pages 493-509
  14. Palaniappan Kannappan
    Pages 511-535
  15. Palaniappan Kannappan
    Pages 537-561
  16. Palaniappan Kannappan
    Pages 563-605
  17. Palaniappan Kannappan
    Pages 607-667
  18. Palaniappan Kannappan
    Pages 669-756
  19. Back Matter
    Pages 1-52

About this book

Introduction

Functional Equations and Inequalities with Applications presents a comprehensive, nearly encyclopedic, study of the classical topic of functional equations. Nowadays, the field of functional equations is an ever-growing branch of mathematics with far-reaching applications; it is increasingly used to investigate problems in mathematical analysis, combinatorics, biology, information theory, statistics, physics, the behavioral sciences, and engineering.

This self-contained monograph explores all aspects of functional equations and their applications to related topics, such as differential equations, integral equations, the Laplace transformation, the calculus of finite differences, and many other basic tools in analysis. Each chapter examines a particular family of equations and gives an in-depth study of its applications as well as examples and exercises to support the material.

The book is intended as a reference tool for any student, professional (researcher), or mathematician studying in a field where functional equations can be applied. It can also be used as a primary text in a classroom setting or for self-study. Finally, it could be an inspiring entrée into an active area of mathematical exploration for engineers and other scientists who would benefit from this careful, rigorous exposition.

Keywords

Cauchy equations Matrix equations difference equations information theory information thoery nondifferentiable functions quadratic functional equations special functions

Bibliographic information