Springer Optimization and Its Applications

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

Authors: Jung, Soon-Mo

  • Organized such that highly advanced undergraduate as well as graduate level students will be able to follow the materials
  • Contains unified notation and refined formulae
  • All the necessary materials and information are included in this book .
  • Offers almost all classical results on the Hyers—Ulam—Rassias stability in an integrated and self-contained fashion
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eBook $59.99
price for USA (gross)
  • ISBN 978-1-4419-9637-4
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $79.99
price for USA
  • ISBN 978-1-4419-9636-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $79.99
price for USA
  • ISBN 978-1-4614-2862-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
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  • can be used across all devices
About this Textbook

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.

About the authors

Soon-Mo Jung is a highly respected mathematician who was born in 1957 in Seocheon, South Korea. He received his BS in Atomic Nuclear Engineering at the Seoul National University and  received his BS, MS, and PhDs in Mathematics at the University of Stuttgart.

Dr. Jung has published approximately 150 research papers in the areas of functional equations, classical analysis, analytical geometry, measure theory, fractals, number theory, and algebra, and has published 5 books. This  present volume will be his first book published with Springer. However, Soon-Mo has contributed papers to several edited volumes and journals such as “Nonlinear Analysis and Variational Problems” (SOIA 35), Acta Mathematica Sinica, Bulletin of the Brazilian Math Society, Proceedings Mathematical Sciences, and Journal of Central South University of Technology.

Reviews

From the reviews:

…I am more than happy to write my opinion on Soon-Mo Jung’s book, as a new addition in this rapidly growing field of mathematics, which will help interested mathematicians and graduate students to understand further this beautiful domain of research… The book contains 14 chapters…concludes with a very useful bibliography of 364 references and an index. It will definitely guide mathematics students to a decisive first step into this abstract, yet intriguing, field of mathematics.

The author has succeeded in presenting to both mathematicians and graduate students an invaluable source of essential mathematics. The book will certainly before a standard  reference for stability of functional equations in nonlinear analysis.

̶̶  Themistocles M. Rassias (EMS Newsletter, December 2011)

“This book is intended to provide an overview of the theory of the stability of functional equations. It is very useful for undergraduate/graduate students and also for anyone interested in Hyers-Ulam stability problems. The book is well written; the style is very accessible and clear.” (Paşc Găvruţa, Mathematical Reviews, Issue 2012 c)

“This interesting book is devoted to an exposition of some new significant results of the Hyers-Ulam-Rassias stability of functional equations, difference equations and related topics in Functional Analysis. … This book is well written in a concise, clear and readable style. … The book is a good source for specialists and graduate students working in functional equations.” (Mohammad Sal Moslehian, Zentralblatt MATH, Vol. 1221, 2011)


Table of contents (6 chapters)

Buy this book

eBook $59.99
price for USA (gross)
  • ISBN 978-1-4419-9637-4
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $79.99
price for USA
  • ISBN 978-1-4419-9636-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $79.99
price for USA
  • ISBN 978-1-4614-2862-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Hyers-Ulam-Rassias Stability of Functional Equations in Nonlinear Analysis
Authors
Series Title
Springer Optimization and Its Applications
Series Volume
48
Copyright
2011
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media, LLC
eBook ISBN
978-1-4419-9637-4
DOI
10.1007/978-1-4419-9637-4
Hardcover ISBN
978-1-4419-9636-7
Softcover ISBN
978-1-4614-2862-6
Series ISSN
1931-6828
Edition Number
1
Number of Pages
XIV, 362
Topics