Stability of a 3-variable quadratic functional equation

In this paper, the authors discuss the general solution and the stability of a 3-variable quadratic functional equation f(x+y,z+w,u+v)+ f(x-y,z-w,u-v)= 2f(x, z,u)+ 2f(y,w,v). The quadratic form f (x,y,z)=ax2+by2+cz2+d xy+e yz+f zx is found to be the solution of the above functional equation

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Bibliographic Details
Main Authors: K. Ravi, M. Arunkumar
Format: Article
Published: Penerbit ukm 2008
Online Access:http://journalarticle.ukm.my/1858/
http://www.ukm.my/~ppsmfst/jqma/index.html
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Institution: Universiti Kebangsaan Malaysia