Hyers-Ulam-Rassias Stability of Functional Equations in Nonlinear Analysis

  • Soon-Mo Jung

Part of the Springer Optimization and Its Applications book series (SOIA, volume 48)

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Soon-Mo Jung
    Pages 1-17
  3. Soon-Mo Jung
    Pages 19-86
  4. Soon-Mo Jung
    Pages 87-103
  5. Soon-Mo Jung
    Pages 105-122
  6. Soon-Mo Jung
    Pages 123-142
  7. Soon-Mo Jung
    Pages 143-153
  8. Soon-Mo Jung
    Pages 155-174
  9. Soon-Mo Jung
    Pages 175-205
  10. Soon-Mo Jung
    Pages 207-225
  11. Soon-Mo Jung
    Pages 227-251
  12. Soon-Mo Jung
    Pages 253-266
  13. Soon-Mo Jung
    Pages 267-284
  14. Soon-Mo Jung
    Pages 285-323
  15. Soon-Mo Jung
    Pages 325-343
  16. Back Matter
    Pages 345-362

About this book

Introduction

This textbook at the advanced undergraduate/graduate level will complement the books of D.H. Hyers, G. Isac, and Th.M. Rassias (© Birkhauser 1998) and of S. Czerwik (2002) by integrating and presenting the primary developments applying to almost all the classical results of  the Hyers-Ulam-Rassias stability.

The self-contained text is presented in an easy to understand fashion and all the necessary materials and information are included in order to appeal to a diverse audience with interests in difference and functional equations and functional analysis. Highlights of the text include discussions of the method of invariant means and the fixed point method,  the stability problems for the exponential functional equations, Hyers-Ulam stability, Hyers-Ulam-Rassias stability, Pexider equation, and superstability of the exponential function.

Keywords

Functional equations Hyers-Ulam stability Hyers-Ulam-Rassias stability Pexider Superstability of the exponential function

Authors and affiliations

  • Soon-Mo Jung
    • 1
  1. 1., College of Science and TechnologyHongik UniversityJochiwonKorea, Republic of (South Korea)

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4419-9637-4
  • Copyright Information Springer Science+Business Media, LLC 2011
  • Publisher Name Springer, New York, NY
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-1-4419-9636-7
  • Online ISBN 978-1-4419-9637-4
  • Series Print ISSN 1931-6828
  • About this book