• DocumentCode
    519367
  • Title

    General Solution of a 2-variable Quadratic Functional Equation and Its Stability

  • Author

    Cao, Jianbing ; Yin, Jingben

  • Author_Institution
    Dept. of Math., Henan Inst. of Sci. & Technol., Xinxiang, China
  • Volume
    1
  • fYear
    2010
  • fDate
    5-6 June 2010
  • Firstpage
    375
  • Lastpage
    377
  • Abstract
    One of the interesting questions in the theory of functional equations is the following: when is it true that a function which approximately satisfies a functional equation F must be close to an exact solution of F? If there exists an affirmative answer we say that the equation F is stable. In this paper, we obtain the general solution and the generalized Hyers- Ulam stability of the 2-variable quadratic functional equation which originating from quadratic form.
  • Keywords
    functional analysis; stability; 2-variable quadratic functional equation; functional equation theory; generalized Hyers-Ulam stability; Difference equations; Industrial engineering; Mathematics; Stability; 2-variable quadratic functional; Solution; Stability;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Computing, Control and Industrial Engineering (CCIE), 2010 International Conference on
  • Conference_Location
    Wuhan
  • Print_ISBN
    978-0-7695-4026-9
  • Type

    conf

  • DOI
    10.1109/CCIE.2010.100
  • Filename
    5492102