Springer Optimization and Its Applications

Functional Equations in Mathematical Analysis

Editors: Rassias, Themistocles, Brzdek, Janusz (Eds.)

  • Presents the most recent results to the solution of the Ulam stability problem for several types of functional equations
  • Includes contributions from an international group of experts in the fields of functional analysis, partial differential equations, dynamical systems, algebra, geometry, and physics
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eBook $219.00
price for USA (gross)
  • ISBN 978-1-4614-0055-4
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  • Immediate eBook download after purchase
Hardcover $279.00
price for USA
  • ISBN 978-1-4614-0054-7
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  • Usually dispatched within 3 to 5 business days.
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About this book

The stability problem for approximate homomorphisms, or the Ulam stability problem, was posed by S. M. Ulam in the year 1941. The solution of this problem for various classes of equations is an expanding area of research. In particular, the pursuit of solutions to the Hyers-Ulam and Hyers-Ulam-Rassias stability problems for sets of functional equations and ineqalities has led to an outpouring of recent research.

 

This volume, dedicated to S. M. Ulam, presents the most recent results on the solution to Ulam stability problems for various classes of functional equations and inequalities. Comprised of invited contributions from notable researchers and experts, this volume presents several important types of functional equations and inequalities and their applications to problems in mathematical analysis, geometry, physics and applied mathematics.

 

"Functional Equations in Mathematical Analysis" is intended for researchers and students in mathematics, physics, and other computational and applied sciences.

Table of contents (11 chapters)

  • Stability Properties of Some Functional Equations

    Roman Badora

    Pages 3-13

  • A General Fixed Point Method for the Stability of Cauchy Functional Equation

    Liviu Cădariu, Viorel Radu

    Pages 19-32

  • Orthogonality Preserving Property and its Ulam Stability

    Jacek Chmieliński

    Pages 33-58

  • On Stability of the Equation of Homogeneous Functions on Topological Spaces

    Stefan Czerwik

    Pages 87-96

  • Hyers–Ulam Stability of the Quadratic Functional Equation

    Elhoucien Elqorachi, Youssef Manar, Themistocles M. Rassias

    Pages 97-105

Buy this book

eBook $219.00
price for USA (gross)
  • ISBN 978-1-4614-0055-4
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $279.00
price for USA
  • ISBN 978-1-4614-0054-7
  • 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
Functional Equations in Mathematical Analysis
Editors
  • Themistocles Rassias
  • Janusz Brzdek
Series Title
Springer Optimization and Its Applications
Series Volume
52
Copyright
2012
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media, LLC
eBook ISBN
978-1-4614-0055-4
DOI
10.1007/978-1-4614-0055-4
Hardcover ISBN
978-1-4614-0054-7
Series ISSN
1931-6828
Edition Number
1
Number of Pages
XVII, 748
Topics