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http://dx.doi.org/10.4134/BKMS.2009.46.2.235

NOTES ON THE SUPERSTABILITY OF D'ALEMBERT TYPE FUNCTIONAL EQUATIONS

Cao, Peng (DEPARTMENT OF MATHEMATICS SICHUAN UNIVERSITY)
Xu, Bing (DEPARTMENT OF MATHEMATICS SICHUAN UNIVERSITY)

Publication Information

Bulletin of the Korean Mathematical Society / v.46, no.2, 2009 , pp. 235-243 More about this Journal

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).

Keywords

d'Alembert functional equation; superstability; cosine function;

Citations & Related Records

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Reference

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