Skip to main content
  • Book
  • © 2012

Functional Equations in Mathematical Analysis

  • 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

  • Includes supplementary material: sn.pub/extras

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

Buy it now

Buying options

eBook USD 169.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

This is a preview of subscription content, access via your institution.

Table of contents (48 chapters)

  1. Front Matter

    Pages i-xvii
  2. Stability in Mathematical Analysis

    1. Front Matter

      Pages 1-1
    2. Hyers–Ulam Stability of the Quadratic Functional Equation

      • Elhoucien Elqorachi, Youssef Manar, Themistocles M. Rassias
      Pages 97-105
    3. Intuitionistic Fuzzy Approximately Additive Mappings

      • M. Eshaghi-Gordji, H. Khodaei, H. Baghani, M. Ramezani
      Pages 107-124
    4. Ulam Stability Problem for Frames

      • Laura Găvruţa, Paşc Găvruţa
      Pages 139-152
    5. Generalized Hyers–Ulam Stability of a Quadratic Functional Equation

      • Kil-Woung Jun, Hark-Mahn Kim, Jiae Son
      Pages 153-164
    6. Approximately Midconvex Functions

      • Krzysztof Misztal, Jacek Tabor, Józef Tabor
      Pages 177-190
    7. On the Butler–Rassias Functional Equation and its Generalized Hyers–Ulam Stability

      • Takeshi Miura, Go Hirasawa, Takahiro Hayata
      Pages 201-206
    8. A Note on the Stability of an Integral Equation

      • Takeshi Miura, Go Hirasawa, Sin-Ei Takahasi, Takahiro Hayata
      Pages 207-222
    9. On the Stability of Polynomial Equations

      • Abbas Najati, Themistocles M. Rassias
      Pages 223-227

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.

Keywords

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

Editors and Affiliations

  • , Department of Mathematics, National Technical University of Athens, Athens, Greece

    Themistocles M. Rassias

  • Institute of Mathematics, Pedagogical University, Krakow, Poland

    Janusz Brzdek

Bibliographic Information

Buy it now

Buying options

eBook USD 169.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access