Skip to content

Advertisement

  • Research Article
  • Open Access

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

Journal of Inequalities and Applications20082008:210615

https://doi.org/10.1155/2008/210615

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

Abstract

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.

Keywords

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

Publisher note

To access the full article, please see PDF.

Authors’ Affiliations

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

Copyright

Advertisement