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  • P-ISSN1226-0657
  • E-ISSN2287-6081
  • KCI

ISSN : 1226-0657

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Vol.13 No.4

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On the Solution of a Multi-Variable Bi-Additive Fuctional Equation I

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2006, v.13 no.4, pp.295-301
Park, Won-Gil
Bae, Jae-Hyeong
Park,, W. , & Bae,, J. (2006). On the Solution of a Multi-Variable Bi-Additive Fuctional Equation I. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 13(4), 295-301.

Abstract

We Investigate the relation between the multi-variable bi-additive functional equation f(x+y+z,u+v+w)=f(x,u)+f(x,v)+f(x,w)+f(y,u)+f(y,v)+f(y,w)+f(z,u)+f(z,v)+f(z,w) and the multi-variable quadratic functional equation g(x+y+z)+g(x-y+z)+g(x+y-z)+g(-x+y+z)=4g(x)+4g(y)+4g(z). Furthermore, we find out the general solution of the above two functional equations.

keywords
solution, multi-variable bi-additive mapping

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics

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