ON THE STABILITY OF 3-DIMENSIONAL QUADRATIC FUNCTIONAL EQUATION

  • Bae, Jae-Hyeong (Department of Mathematics, Chungnam National University)
  • Published : 2000.08.01

Abstract

In this paper, we investigate the Hyers-Ulam-Rassias stability of a quadratic functional equation f(x+y+z)+f(x+y)+f(y-z)+f(z-x)=3f(x)+3f(y)+3f(z) and prove the Hyers-Ulam stability of the equation on restricted (unbounded) domains.

Keywords

References

  1. Functional equations in Several Variables J.Aczel;J.Dhombres
  2. Internat.J.Math.Math.Sci. v.18 On a general Hyers-Ulam-stability result C.Borelli;G.L.Forti
  3. Abh.Math.Sem.Univ.Hamburg v.62 On the stability of the quadratic mapping in normed spaces S.Czerwik
  4. Progress in nonlinear differential equations and their applications v.34 Stability of functional equations in several variables D.H.Hyers;G.Isac;Th.M.Rassias
  5. J.Math.Anal.Appl. v.222 On the Hyers-Ulam stability of the functional equations that have the quadratic property S.-M.Jung
  6. Results Math. v.27 Quadratic functional equation and inner product spaces Pl.Kannappan
  7. C.R.Acad.Bulgare Sci. v.45 On the stability of the Euler-Lagrange functional equation J.M.Rassias
  8. Rend.Sem.Mat.Fis.Milano v.53 Proprieta locali e approssimazione di operatori F.Skof