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Functional Equations in Mathematical Analysis

  • Themistocles M. Rassias
  • Janusz Brzdek

Part of the Springer Optimization and Its Applications book series (SOIA, volume 52)

Table of contents

  1. Front Matter
    Pages i-xvii
  2. Stability in Mathematical Analysis

    1. Front Matter
      Pages 1-1
    2. Elhoucien Elqorachi, Youssef Manar, Themistocles M. Rassias
      Pages 97-105
    3. M. Eshaghi-Gordji, H. Khodaei, H. Baghani, M. Ramezani
      Pages 107-124
    4. Laura Găvruţa, Paşc Găvruţa
      Pages 139-152
    5. Kil-Woung Jun, Hark-Mahn Kim, Jiae Son
      Pages 153-164
    6. Krzysztof Misztal, Jacek Tabor, Józef Tabor
      Pages 177-190
    7. Takeshi Miura, Go Hirasawa, Takahiro Hayata
      Pages 201-206
    8. Takeshi Miura, Go Hirasawa, Sin-Ei Takahasi, Takahiro Hayata
      Pages 207-222
    9. Abbas Najati, Themistocles M. Rassias
      Pages 223-227
    10. Choonkil Park, Madjid Eshaghi-Gordji
      Pages 229-245
    11. Choonkil Park, Themistocles M. Rassias
      Pages 247-260
    12. Vladimir Yu. Protasov
      Pages 273-285
    13. D. Zeglami, S. Kabbaj, A. Charifi, A. Roukbi
      Pages 337-358
  3. Topics in Mathematical Analysis

    1. Front Matter
      Pages 359-359
    2. Chang-Jian Zhao, Wing-Sum Cheung
      Pages 361-369
    3. Antoni Chronowski
      Pages 371-416
    4. Małgorzata Chudziak
      Pages 417-426
    5. Hans-Heinrich Kairies
      Pages 547-554
    6. George Kouvaras, George Kokolakis
      Pages 555-561
    7. Janusz Matkowski
      Pages 563-582
    8. Vicente Muñoz, Ricardo Pérez Marco
      Pages 633-657
    9. Muhammad Aslam Noor, Khlaida Inayat Noor, Eisa Al-Said
      Pages 689-696
    10. Prasanna K. Sahoo
      Pages 697-708
    11. Gheorghe Toader, Iulia Costin, Silvia Toader
      Pages 709-717
    12. Bicheng Yang
      Pages 719-725
    13. Bicheng Yang, Themistocles M. Rassias
      Pages 739-748

About this book

Introduction

Functional Equations in Mathematical Analysis, dedicated to S.M. Ulam in honor of his 100th birthday, focuses on various important areas of research in mathematical analysis and related subjects, providing an insight into the study of numerous nonlinear problems. Among other topics, it supplies the most recent results on the solutions to the Ulam stability problem.

 

The original stability problem was posed by S.M. Ulam in 1940 and concerned approximate homomorphisms. The pursuit of solutions to this problem, but also to its generalizations and/or modifications for various classes of equations and inequalities, is an expanding area of research, and has led to the development of what is now called the Hyers–Ulam stability theory.

 

Comprised of contributions from eminent scientists and experts from the international mathematical community, the volume presents several important types of functional equations and inequalities and their applications in mathematical analysis, geometry, physics, and applied mathematics. It is intended for researchers and students in mathematics, physics, and other computational and applied sciences.

Keywords

Approximate Homomorphisms Functional Analysis Functional Equations Functional Inequalities Hyers-Ulam-Rassias Stability Mathematical Analysis S.M. Ulam Ulam Stability

Editors and affiliations

  • Themistocles M. Rassias
    • 1
  • Janusz Brzdek
    • 2
  1. 1., Department of MathematicsNational Technical University of AthensAthensGreece
  2. 2.Institute of MathematicsPedagogical UniversityKrakowPoland

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4614-0055-4
  • Copyright Information Springer Science+Business Media, LLC 2012
  • Publisher Name Springer, New York, NY
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-1-4614-0054-7
  • Online ISBN 978-1-4614-0055-4
  • Series Print ISSN 1931-6828
  • Buy this book on publisher's site