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On the Stability of the Quadratic Functional Equation and Related Topics

  • Stefan Czerwik
Chapter
Part of the Mathematics and Its Applications book series (MAIA, volume 430)

Abstract

In this paper we consider the problem of the stability of a quadratic equation in some abstract space in the sense of Hyers-Ulam-Rassias. This is a generalisation of an idea originally stated by S. M. Ulam for the linear (Cauchy) equation. Similar problems for other equations are actually investigated by several mathematicians.

Key words and phrases

Functional equations Stability Hyers-Ulam-Rassias sequences Quadratic mappings 

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Copyright information

© Springer Science+Business Media New York 1998

Authors and Affiliations

  • Stefan Czerwik
    • 1
  1. 1.Institute of MathematicsSilesian University of TechnologyGliwicePoland

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