Skip to main content


We're creating a new version of this page. See preview

  • Research Article
  • Open Access

Stability of a Quadratic Functional Equation in the Spaces of Generalized Functions

Journal of Inequalities and Applications20082008:210615

  • Received: 30 June 2008
  • Accepted: 20 August 2008
  • Published:


Making use of the pullbacks, we reformulate the following quadratic functional equation: in the spaces of generalized functions. Also, using the fundamental solution of the heat equation, we obtain the general solution and prove the Hyers-Ulam stability of this equation in the spaces of generalized functions such as tempered distributions and Fourier hyperfunctions.


  • Generalize Function
  • Functional Equation
  • Full Article
  • Publisher Note
  • Quadratic Functional Equation

Publisher note

To access the full article, please see PDF.

Authors’ Affiliations

Department of Mathematical Sciences, Korea Advanced Institute of Science and Technology, 373-1 Guseong-dong, Yuseong-gu, Daejeon, 305-701, South Korea


© Young-Su Lee. 2008

This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.