Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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NOTES ON THE SUPERSTABILITY OF D'ALEMBERT TYPE FUNCTIONAL EQUATIONS

  • Cao, Peng (DEPARTMENT OF MATHEMATICS SICHUAN UNIVERSITY) ;
  • Xu, Bing (DEPARTMENT OF MATHEMATICS SICHUAN UNIVERSITY)
  • Published : 2009.03.31
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Abstract

In this paper we will investigate the superstability of the generalized d'Alembert type functional equations ${\sum}^m_{i=1}f(x+{{\sigma}^i}(y))$ = kg(x)f(y) and ${\sum}^m_{i=1}f(x+{{\sigma}^i}(y))$ = kf(x)g(y).

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References

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